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My gut reaction is shove, hoping he has AQ. Oh look at me representing the ace only to run into two pair Ooops!
But honestly - I think almost any line works. If he thinks you win pots through aggression and not showdowns any aggressive line will be called.
If you're a bit of an actor it's tempting to feel slightly disgusted by the A and check to him - hoping that it either hit him, or he wants to give you a shot of your own medicine and have him bet to represent the ace. Working on the assumption that he has a pair of queens on the flop he has either zero or four outs to improve to beat you. Checking and having him check behind doesn't seem like a lot of potential value to give up.
Seeing as he doesn't have much chance to improve I could see playing the set slowly here, or with small bets like Jack suggests to get him slowly pot committed and all in. The only hands possible on the board (by the river) that beat you are straights (low and high - both extremely unlikely - he won't have played KJ, KT, JT, 54, 53, 43 this way ever really) and better sets (trips would give you the full house) and two pairs on the turn (like AQ) that can river a better full house than yours. The only hands that could worry you are 66 and QQ, but if he has those - he's a good actor.
This may be the rare case where slowplaying a set is the way to maximise value with it.
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