> Could it be that later generations of archeologists took the opposite view because the preponderance of evidence uncovered in that time pointed in that direction (and because the cultural and political stigma against contradicting the Bible diminished over time,)

My understanding is that the shift can mostly be attributed to the rise of biblical minimalism as the dominant interpretive framework. Radiocarbon dating of the Jericho ruins did rule out Albright's preferred late Exodus date. But the radiocarbon date is consistent with an (in my opinion, far more interesting) earlier Exodus date, which would line up with the hypothesis that the Israeli people were the Hyksos, and which would also line up with a sequential interpretation of the timeline presented in Joshua, Judges, and Samuel.

> or are you implying that the interpretation of archaeological evidence either way is simply a matter of arbitrary personal preference?

Archaeological evidence constrains the set of defensible explanations. But the available evidence from this time period (Exodus, conquest of Canaan) is so scarce that it mostly comes down to personal preference.

> And notwithstanding that, there is absolutely no credible evidence of the supernatural at all.

How could it be otherwise? If there were reproducible evidence, then the phenomenon in question would be classified as natural.

> On what basis do you believe the Bible and its supernatural claims could have happened?

I'm quite certain that mind is more fundamental than matter, and I'm not very sure about a whole lot else.

Archeology has certainly been affected by unscientific intellectual fashions: take the post-WW2 marginalization of mass migration hypotheses, which happened as a reaction to Nazism, not on the basis of any scientific evidence. It took the ancient DNA revolution (i.e. being embarrassed by outsiders who could prove the archeology consensus was wrong) to correct this purely political scientific bias. (Note that historical linguists generally continued believing in mass migration all along though.)