everything is possible here imo

your decision all depends on table flow, your image, etc.

without any meta then I don't really think it matters since you're probably flipping vs BB's range if he's solid and in very good shape if he's capable of bluff-raising scary flops from time to time

so it all depends what gear you guys are in. sometimes you should never fold this, sometimes you should always fold this (since his range will be either flipping or crushing you).

I really think there's no standard answer because there shouldn't be

In general though I'd prob 3-bet/call the flop line since he'll earn himself a free card so often when he misses the turn and also it'll be tough to know which card helped his hand

calling the raise and leading lots of turns could be good too