(until someone suggests a better word)

Well, if what you’re looking for is to be less specific to organised religion and
include pesonal development and transcendant experience
then why not Mysticobiology.

Religions are one of the manifestations of mystical thought, which, in the context of “neurotheology”’s assumption, would rely on similar processes.

Incidentally, I agree totally with your analysis of the term neurotheology, and in fact this is exactly why I don’t trust that field: I can’t help to feel that either the main people in it can’t understand or care about basic rules of how words mean things, in which case I don’t see how they are fit to understand much else in any interesting or rigorous way, or they do, and this word coinage betrays a different agenda than the one you subscribe to.