It sounds like you think that epistemology is simply erudite nonsense
Much of it is, yes.
philosophers need to just accept probably Bayesianism or the scientific method or something.
This would require that "Bayesianism" or "the scientific method" or "or something" actually be a full, formalized solution to How to Reason Inductively. We currently possess no such solution; this does not, by any means, mean that no such solution can exist and we all have to resort to throwing intuitions at each-other or adopt broad skepticism about the existence and contents of reality.
What I recommend is to move past the trivialities, having accepted that the eventual solution will be abductive (in the sense required to dismiss skepticism about the external world or the consciousness of others as silly, which it is), and set to work on the actual details and formalizations, which are of course where all the hard work remains to be done.
(By the way, the reference to philosophy-woo is because professional epistemologists tend not to be radical skeptics. The idea that there just isn't an external reality is mainly only taken seriously by undergrads first learning the subject.)
Just came across this interview with Robert Aumann. On pgs. 20-27 he describes why and how he believes in Orthodox Judaism. I don't really understand what he's saying. Key quote (I think):
Anybody have a clue what he means by all this? Do you think this is a valid way of looking at the world and/or religion? If not, how confident are you in your assertion? If you are very confident, on what basis do you think you have greatly out-thought Robert Aumann?
Please read the source (all 7 pages I referenced, rather than just the above quote), and think about it carefully before you answer. Robert Aumann is an absolutely brilliant man, a confirmed Bayesian, author of Aumann's Agreement Theorem, Nobel Prize winner, and founder / head of Hebrew University's Center for the Study of Rationality. Please don't strawman his arguments or simply dismiss them!