As has already been stated, there's no way to correlate the Biblical timeline of the exodus with current findings. The Oxford History of the Biblical World (1998) (hardly a liberal or revisionist source) has this to say:
"At no point in the known archeological sequence for Egypty, Sinai and Palestine does the extant archeological record accord with that expected from the Exodus (or, for that matter, conquest) account in the Bible. No archeological evidence from Egypt can be construed as representing a resident group of Israelites in the delta or elsewhere, unless one accepts a general equation of the Exodus group with the Hyksos...Compromise and selectivity are thus the keys to all hypotheses that have been adbvanced to date the Exodus events" (p. 104).
Equating the Israelites with the Hyksos raises its own problems. It puts the conquest of Canaan around the beginning of the 15th century, which means the times of the judges would have had to last four hundred years, before the rise of the monarchy. Moreover, the Biblical record has the Israelites interacting with Ammon, Edom and Moab and archeological digs have revealed that those settlements simply weren't populated at that time.
There's other difficulties, too, with trying to reconcile the literal Biblical account with archeology. The Bible puts the number of persons leaving Egypt at more than 2,000,000, when you count such "non-persons" as women and children--yet the entire population of Egypt was only around 2,000,000 during this supposed time period. Moreover, such a large crowd roaming the area identified in scripture would leave ample evidence of their presence. Assuming a modern mortality rate (which is overly conservative, since ancient mortality rates were much higher), there would have been at least 10,000 people dying of natural causes every month, month after month. That's a LOT of bodies to dispose of, even by burning. Plenty of bones would have been discovered, as well as pottery shards from ordinary trash. Yet--nothing.
