Black Aces vs. flop all-in

[PoBoy321]

So I was playing in a small live tourney today, 2 tables. This hand came up which I feel I misplayed.

My read on the villain is that he's a fairly solid player but pretty straightforward with his hands. The one hand we were in together, I had AQs in MP, raise to 4X BB, he popped me back for like 10X BB. I didn't hear him say it specifically, but I'm 100% positive that he had AA (he leaned over to his friend and I heard him say "yeah, I can't believe I got it in the first hand of the tourney.").

I'm in the BB and look down to see black Aces. Villain is UTG and raises to about 6X BB. Based on his body language and his play up to this point, I'm pretty sure he's got a big pair, probably KK. It's folded back to me and I just call.

Flop comes JT3. I bet the pot and, as I expect him to do with KK, he pushes. I have him covered. What's your play.