A hand I forgot

I think this hand is what makes my play in the AQs so bad. Blinds are 600/1200/200, I raise to 4k in the cutoff with AKs. Maxfield reraises to 12k on the button. He has about 35k behind, I cover by a little. I push and he folds and says AKs(!!!). Given he'll fold that there, I'm 100% sure he folds a Q in the AQ hand. He has 3 outs max so I don't mind giving him a free river if I can get a river bet when he misses. He later told me he folded a lower flush draw, so I probably don't get any more from him unless the river's a club.

Steve