Suckout I could've avoided?

[Bulldog]

Caesar's (AC) 100+20 on Saturday. 6th hand of tournament, first one I've played. I still have 4925 of the 5000 starting stack, blinds 25/50.

Villian raises to 200 UTG. I make it 800 from LP with AA. He calls, heads-up to flop of K83r. He checks, I bet 1500, he raises to 3000, and I push for 1125 more.

He waits for the count and isn't making a snap call, so he doesn't have a set. I think it has to be AK (two outs) or TT or 99 (two outs). The pot is laying him about 7 to 1, so he should fold any of those hands if he knows what I have, and I should want him to call.

I consider showing him my aces but he calls with AK. Good news, until the K hits the turn.

I *know* I want him to call here. But does anybody flash their aces in this spot?