I think that I might fold preflop. especially if he is not kind of guy to spew of his chips by bluffing. We are almost 2:1 dog to his most likely 3b range. As red said, I doubt that weaker ace besides AJs are in his range unless he decided to make a move(donks often do with any ax or any trash for some reason). Then again I don't expect to get 2 bets on both turn and river and be good too often, while his check on turn does kinda seem like we have the best hand(I dont give him credit for trapping us). Question is which is more likely, that we bet turn and he puts us on some sort of draw and calls and then on river he feels committed so he will call rest off with jj+ or we check turn and bet river/induce sometimes bluffs if villain is bad.
And i think river is a call, I would need a really good read to fold it once i decide to call preflop. This board is basically as good as it gets for AQ