I would check the flop, call a small bet on the turn - otherwise check behind, and probably fold to a river bet. I know this is very passive, but in a tournament everybody who doesn't have an ace is afraid of an ace here. If you call once they are afraid you're trapping. That guy has a healthy stack; I'm pretty sure he didn't like calling here oop in the first place.

And I think here you could really make an argument for betting less preflop - you reall don't need to isolate that bad with AA or KK. You'll very likely still have the best hand on the flop when someon makes a pair, and you might put them in a tough spot.