Is there an explanation for Judah's existence that completely sidesteps Solomon and David? How about that Temple attributed supposedly to the clan?
There's a fair bit of theory to explain the archaeological evidence without needing biblical David. Lot of stuff published in 80s and early 90s comes from that angle. A King Arthur type figure for later scribes, or you could even do the links to Horsa and Hengist who similarly stand on that boundary between being plausibly based on historical figures and full on mythological founding fathers. I can't think of anything current which totally dismisses the bible stories, especially not with the House of David evidence now. Something seems to have happened in the hills which could plausibly be explained by a centralised power arising. 'If not the biblical David, another man of the same name' kind of thing.
With the temple, the evidence is for numerous smaller 'shrines' around Israel even until, say, Josiah's time. eg references to Yahweh of X (not Jerusalem) have been found which kind of hints towards a less centralised religion than the picture painted by the bible stories So I would wonder about how far a single 'temple' even in Jerusalem really was the main focus for Israelite worship and how much is actually later creative interpretation of history by writers. Against that, if there were a new centralised state arising in the hills then an attempt to centralise a religion/cult would also make sense as something which would happen around the same time. Or at least an attempt to have a major new cult site act as a focus. Herding cats one suspects.