I forgot to mention another article that argues for Daniel's use of the Jewish solar calendar: J. Van Goudoever, "Time Indications in Daniel That Reflect the Usage of the Ancient Theoretical So-Called Zadokite Calendar," The Book of Daniel In Light of New Findings (1993, pp. 533-538). Also see Hanan Eshel, "4Q390, the 490-Year Prophecy, and the Calendrical History of the Second Temple Period," Enoch and Qumran Origins: New Light on a Forgotten Connection (2005, pp. 102-110).
Here are some of the main indicators that the author(s) presumed the Jewish schematic calendar and not the lunisolar calendar (either in its Babylonian, Seleucid, or Jewish forms):
(1) In Daniel 6:8, 13 "thirty days" is referred to as a set period and even though it is not explicitly called a month in this context, it was in the schematic sabbatical calendar that months have a regular length of 30 days.
(2) The periods of 1,290 days and 1,335 days in Daniel 12:11-12 are directly related to the "time, two times, and half a time" in 12:7, and this relates to the period of persecution by Antiochus IV Epiphanes (involving war, the abolition of daily sacrifice, and the setting up of the appalling abomination in the Temple) that is also related in 7:25 (also a "time, two times, and half a time") and 9:27 (for a "half week" of years, i.e. 3 1/2 years). In the schematic sabbatical calendar, 3 1/2 years equal 1,260 monthly days -- each month lasting 30 days. In the lunisolar calendar, the same period of time would have 1,244 monthly days (or 1,273 monthly days if a second Adar is counted). Revelation interpreted the "time, two times, and half a time" (12:14) as 1,260 days (11:3, 12:6) and 42 months (11:2, 13:5). This correctly recognizes that Daniel used a calendar of twelve 30-day months. The periods of 1,290 and 1,335 days in Daniel 12 however are slightly longer than 3 1/2 years. But these lengths are also intelligible according to the same calendrical reckoning. An extra 30-day month is added to the 3 1/2 years to reach 1,290 days, and 1,335 days adds to this an extra half month (15 days). Thus, 1,260 days, 1,290 days, and 1,335 days are all intelligible monthly reckonings in the sabbatical schematic calendar.
(3) The only calendrical date given in Daniel is "the twenty-fourth day of the first month" (I/24) in 10:4. The month is numbered and not named, as was the case with the sabbatical schematic calendar in 1 Enoch, Jubilees, and the Dead Sea Scrolls, and the months are similarly numbered in the late priestly writings of the OT (i.e. P, Ezekiel, Zechariah, Haggai, Ezra, 1-2 Chronicles, etc.) that seem to similarly betray knowledge of the sabbatical schematic calendar (as argued by Jaubert and VanderKam). P's account of the Flood, for example, also presumes such a calendar, as it refers to a 150 days (30 x 5) equaling 5 months (Genesis 7:11, 24, 8:3-4), i.e. II/17 to VII/17, and in Numbers 10:11-12, 33 P has the ark of the covenant leave Sinai on II/20 (a Wednesday in the schematic calendar) and stop its journey on II/22 such that the people may rest (II/22 is a Friday in the schematic calendar, with the sabbath rest coming the next day), and in fact P frequently has journeys end on Fridays if read according to the schematic calendar (e.g. Noah's ark comes to rest at Ararat on VII/17, a Friday, in Genesis 8:4, the Israelites arrive at the desert of Sin on II/15, a Friday, in Numbers 16:1, the Israelites arrive to the Promised Land on I/10, a Friday, in Joshua 4:19; cf. also the Jews arriving to Jerusalem after the Babylonian Exile on V/1, a Friday, in Ezra 7:9, etc.), just as journeys frequently begin on a Wednesday (e.g. the Israelites departing Egypt on 1/15, a Wednesday, in Exodus 12:31-51, the Jews departing Babylon after the Babylonian Exile on I/1, a Wednesday, in Ezra 7:9, Adam and Eve departing from the Garden of Eden on IV/1, a Wednesday, in Jubilees 3:32, Noah and his family departing the ark on II/27, a Wednesday, in Jubilees 5:32, Abraham departing Mount Zion on I/15, a Wednesday, in Jubilees 18:1-17, Jacob departing to Bethel on VII/1, a Wednesday, in Jubilees 31:3, etc.). There however has been a good deal of debate among scholars on how much the priestly writings of the OT follow this calendar, but since Daniel shows great interest in the priesthood (in ch. 9) and the Temple cult itself (in both ch. 8 and 9), Jaubert's theory if valid would be relevant.
(4) The date of I/24 in Daniel 10:4 has special meaning in the schematic calendar that is consistent with the time periods of Daniel. It ends a period of fasting lasting "twenty-one days" (v. 13), or "three weeks" (v. 2). Since he fasted a whole three weeks, receiving his angelic visit on I/24 (a Friday), he must have started his fast on I/3 upon receiving his original vision -- the day of man's creation in the schematic calendar (a Friday, with the sun being created on I/1, the fourth day of creation, a Wednesday). This is an appropriate day to have received the vision foreseeing the resurrection of the dead (12:1-3; the dead are brought to life from the "dust of the earth" just as Adam was brought to life from the dust of the earth in Genesis). What is especially interesting is that unlike the lunar calendar, the sabbatical schematic calendar obligatorily started the year directly upon the (schematic) spring equinox. If we count from the equinox (between XII/30 and I/1), I/24 is exactly 3 1/2 weeks later. Since Daniel elsewhere shows interest in periods of 3 1/2 "times" (7:25, 9:27, 12:14) and in weeks (ch. 9), this may be part of the author's plan. The counting of weeks from the equinox to I/24 is also meaningful since the second week ends with Passover, the third week starts with the first day of the Feast of Unleavened Bread, and the third week ends with the last day of the Feast of Unleavened Bread. Moreover, I/24 is the day before the sabbath in the sabbatical calendar, and the angel concludes his explanation of the vision by telling Daniel that after going his way he will rest until the resurrection. The reference is to the prophet's own death, but there may be a sabbatical overtone in this reference to rest. Finally, I/26 is the day of the waving of the Omer (cf. Leviticus 23) in the schematic calendar, which starts the counting of weeks to the Festival of Weeks (Shavu'ot) on III/15. With only the sabbath separating him from the counting of weeks to Shavu'ot, the timing is quite appropriate for the author's counting of weeks to the end of the 3 1/2 "times" in ch. 9 and the counting of 3 1/2 "times" in 12:6-7 "before all these things are fulfilled".
(5) The periods of 1,290 days and 1,335 days also may point to the feast of Shavu'ot in the sabbatical calendar. These exceed the period of 3 1/2 years by 30 days and 45 days respectively, and since the 3 1/2 years correspond to the final half-week in ch. 9, these periods of 30 and 45 days transpire after the conclusion of the "seventy weeks" (which conclude with the death of Antiochus, as does ch. 11). The moment that divides the two periods of 3 1/2 years in the apocalyptic survey in ch. 9 is the abolishing of sacrifice and offering after "the people of a ruler who shall come destroy the city and sanctuary", followed later by the installation of the appalling abomination in the Temple (9:26-27). This corresponds to the events concerning Antiochus related in 11:31, which follows the "ships of Kittim" (= Rome) frustrating Antiochus' campaign against Egypt. We know from historical sources that the Roman legate Laenas sailed to Egypt in late June 168 BC and he forced Antiochus to leave Egypt on 30 July 168 BC. Antiochus and his mysarch Apollonius then turned their attention to Judea and they plundered and razed Jerusalem around September 168 BC, allowing them to "forbid burnt offerings, sacrifice, and oblations in the temple and profane the sabbaths and festival days" (1 Maccabees 1:20-53), and then on 15 Chislev (17 December 168 BC) they set up the appalling abomination on the altar and then sacrificed on it on 25 Chislev (i.e. 27 December 168 BC) (cf. 1 Maccabees 1:54-59). This shows that September 168 BC, around the time of the fall equinox of 168 BC, marked the point separating the 3 1/2 years that started with the death of the "anointed one" (high priest Onias III, assassinated in 171 BC, cf. also Daniel 11:22) from the 3 1/2 years that span between the forbidding of sacrifice and oblations to the death of the desolator, i.e. Antiochus. That last event would be placed around the spring equinox of 164 BC, after the restoration and purification of the Temple in December 165 BC (exactly 3 years after it was defiled by the appalling abomination, cf. 1 Maccabees 4:52-55, cf. Josephus, Antiquities 12.320, Jewish War 1.32, who regarded this as fulfilling the prophecy of Daniel). Then the extra 30 days would extend beyond the completion of the seventy weeks of years to cover the first month of the year with the observance of Passover and the Festival of Unfermented Bread. Then the extra 15 days to complete the 1,335 days would lead up to III/15, the festival of Shavu'ot. This is the exact same date that Moses received his revelation of the covenant according to Jubilees, and in Judaism this day was kept sacred for covenant renewing. This is especially appropros, since Daniel was especially interested in the covenant -- both the false covenant that Antiochus imposed on the people (9:27, 11:32, cf. 1 Maccabees 1:11) and the holy covenant that those being resurrected had kept under the pain of death (11:22, 33-35, cf. 1 Maccabees 1:63). The "blessing" experienced at the end of the 1,335 days has its natural referent in 12:2-3 (cf. v. 13). It is also worth noting that this only works with the schematic calendar, as in the lunar calendar Shavu'ot is a moveable feast that can fall anywhere between 4 Sivan to 11 Sivan -- never the 15th of the month.
(6) Boccaccini argues that the 2,300 mornings and evenings of ch. 8 spanning between the cessation of daily sacrifice and the purification of the sanctuary represents a real span of time known to the author, leading from the fall equinox of 168 BC to the purification of the Temple on 25 Chislev 165 BC. Since the Tamid consisted of a morning and evening sacrifice, 2,300 sacrifices are counted as spanning across 1,150 days. He shows that if we count from the fall equinox, 1,150 days would end on VIII/27 which in fact is the date of a significant event in the Megillat Ta'anit from the Maccabean period on which "they began again to bring the offerings of fine flour upon the altar". Boccaccini believes that since the lunar calendar runs ahead of the sabbatical calendar (as it is shorter than the 364-day year), the event mentioned in the Megillat Ta'anit was the same as the purification of the Temple on or around 25 Chislev 165 BC, with the date reckoned according to the schematic calendar instead of the lunar calendar used in 1 Maccabees. The use of equinoxes to compute both the 1,150 and the 1,335 days would also be a distinctive feature of the schematic calendar in which the four solstices and equinoxes are not days belonging to the months but serve as special markers of the seasons.
These different points are not of the same weight, but I would say that the strongest arguments are (2) and (3) which clearly show that Daniel was not using a lunar calendar. Many other features of the book, such as (4) through (6), have rather good explanations if a sabbatical calendar is presumed. The author's clear interest in sabbatical weeks in ch. 9 also fits well with the use of a sabbatical calendar, as does the probable interest in the counting of weeks from the waving of the Omer to the Festival of Weeks (Shavu'ot), and Shavu'ot (on which one renews one's commitment to the covenant) again fits well with the author's strong interest in faithfulness to the covenant.