AK no pair hand - push or induce a bluff?

[Isura]

This is in a full tilt $10 mtt. Villain in the hand is on the loose side preflop, he's called raises with stuff like AT, QJ. He's also aggressive postflop, and likes to bluff and semibluff a lot. Blinds are 25/50.

Villain (2800)
Hero (1050)

I open utg for 200 with AK. Villain calls in mp and it's heads up.
Flop is 873 rainbow. I push my last 850 into a pot of 475.

After the hand it occured to me that check/raising allin might be a better option. I figure he's calling anyways with a set or overpair, but will fold unpaired hands that I have dominated, so I make a bit more when he bluffs with nothing. Since villain is aggressive and likes to bluff I didn't want to risk him making a move with AJ or whatever, so I didn't fire a standard continuation bet. What do you guys think is the best option: check/fold, check/raise, bet about 200, or push? Thanks for any comments.