Villain is regular and I see him often at higher games, but we don't have any history. I have a note saying that he's aggressive in position. Effective stacks slightly over $110, full ring.

I get [5d][3d][2h] in MP and pot after a few limpers. Villain calls in LP, rest fold.
Flop: [9h][4d]. I pot, villain calls.
Turn: . Should I lead again and call a push? I decided to CRAI here, but got snap called by [9c][8h][5h] and gone was the stack.

How should I be thinking about these hands? I guess he's putting me on AA or just a low draw?

i think i'd do something like 70/30 lead/crai here. the main reason is that the check gives villain a chance to see the river for free while the crai still gives him a good price to call the if he's on a halfway decent draw (2:1)

the only reason i'd do the crai 30% is to keep villain honest when i check. in this case, your hand is too big to risk a check-behind very often, imho.