Villian is 24/15/2.7 over 150 hands (pretty TAG).
Effective stacks 597 (he covers).

[Ac] in BB, UTG villian opens to 16, folded to me, I make it 52, he calls.

Flop [9s][2c] I CB 2/3 64 he calls.

Turn pot 234. I check...he bets 1/2 pot 117, I CRAI...thoughts?

If I put him on JJ-KK, how do I go to value town?

I would raise more semi-deep oop preflop but that's just how I roll.

I think I would lead for half pot on the turn, there's no real draw you're worried about and I think that might get JJ-QQ to stack off more than this line.