Historic evidence is legitimate evidence.
For example, you really have only a few choices regarding the apostles' testimony regarding the resurrection. They were either relaying the truth (T) of what they had seen or they were not relaying the truth (NT) of what they had seen. Either of those categories could have been knowingly (K) or unknowingly. (UK)
We have, then: (1)TK, (2) TUK, (3)NTK, (4) NTUK.
This is exactly what we have regarding any recorded eyewitness account of anything in history.
In the case of the apostles, we can rule out #3, I think, because of the terrible demise that each of them encountered over a period of time.
The worst analysis that can be made, then, is that, at a minimum, they thought they saw something extraordinary.
I've already conceded that people believed in supernatural events; you don't need to prove that to me any further. What I've asked for is evidence of deities.