I wouldnt check behind on that flop. Its too drawy. I would make my standard CB which would be about $8. If he calls I check behind on the turn.
The more I think about it, a check behind on the flop isnt that bad since you have the
. It makes it look like you have AK and you make money off of a middle pair and dont get check raised off of AA.
As played, with a min check raise and a turn push, I give him credit for a monster and I fold. He has to know you have a big hand with the preflop reraise, but he doesnt care. I think he either has KK or has you buried.
If it was 6 max or if he had bad stats, I would probably play it differently, but I think in this case, I let him have it.