[ilya]

Push preflop,

but given that you didn't, I don't like betting out like that on the flop. Couple problems:

1, he flat calls, turn is a blank, now wtf do you do?
2, he raises just like he did, you have to 3-bet all-in, but you've gotten him way too involved in the hand & have little folding equity on the 3rd bet.

I'm not a huge fan of pushing here as it looks pretty weak, so I think the check-raise-all-in is a good line. Good balance of looking strong & getting some extra chips & leaving villain lots of room to fold.