I don't think I like the check/call...I'd prefer to lead out on the flop, fold to a raise.

As played, you can't distinguish between an over pair or AK...which means you end up pushing on the turn (like you did) pretty much in the dark. As well, if villain checked behind, alot of cards could have been dangerous.

And thirdly, what is calling your push that you have beat? AT maybe?