Does convincing him you have AK make a difference here? Once the flop hit, you should have pushed more. With the superior hand, don't you want him to call? In the long run, I will take my chances with AK here and hope that my opponent doesn't catch one of his 3 outs. If he was convinced you had AK, wouldn't he fold, and you would only make a marginal gain on this hand? Trust me, I am one of the unluckiest people with having other people's miracle cards spring up on the turn and river, but you still have to raise it after the flop.