Preflop
The first thing to notice here is, that he is opening UTG, so he has the strongest possible range. You are 3-betting him from BB, which mean, you also have the strongest possible range, because you are out of position, and it is so profitable to just call with so many
hands. And actually you could consider to just flat with QQ here. It has to be at least close. Against a nit I probably would just flat.
Anyways given the position of both of you his 4-bet is an incredible strong line, and he also picked a size, which makes it almost impossible to fold. Like he is begging to get called. What I am getting at here is, that I actually think, we are looking at KK or AA a fair amount of the time. Not always but much more often, than we would ideally like.
So while it feels way to weak-tight, I do think, there is a case made for simply folding to that 4-bet. At least against players, who are on the nitty side. And if he is a LAG or a maniac, why not just get it in pre and be done. Calling out of position is my least favourite option, as someone else already said.
Flop
As played I am checking to him, because I want to give him any possible chance to continue
bluffing, if he somehow is. And bluffs would of course now also include AK. If he takes the bait, I am check-jamming. If he snaps with KK or AA, that is a sign, I should probably have folded to that 4-bet. But its to late to get away now, when we have committed a third of our stack and hit a pretty good flop, that should essentially never have helped him.