This hand makes my head hurt a little.
On one hand, we've very much under represented our hand by check-calling the flop. Villain's probably much more likely to be putting us on a draw or overcards than he is an overpair.
On the other hand, we're still vulnerable to QQ+, sets and made straights.
I just can't put him on many hands that we beat where he shoves the turn like that. I can see QQ+ or a set doing it because they're scared of the huge number of draws that are out there. Does he really double-barrell like this with AKs/AQs?
I think I just cut my losses and fold this one.
FWIW, I probably would've lead the flop though. There's a good chance we're ahead at that stage but we want to charge the villain to draw and maybe get something like AK to float us for a street.