Preflop

I have 210$ in the hand and villain has me covered. He is running at 58/20/4 after 57 hands. So table folds, he raises it to 8$ in OTB and i decide to defend my SB by raising it to 27$ with . He calls my raise

Flop
Pot: 56$
I fire 42$ and he just cold calls. At this point I'm afraid of JJ-QQ, and possibly higher overpairs that are somewhat less likely. Problem is that my hand here is basically AK since i don't beat much besides A9, 98 and AK..First 2 hands are not that likely.
Turn
Pot: 140$
Hero? I have exactly pot size behind, what is my plan? If i check, there is high probability that he will bet with AK, AQ or some other PP that called my raise. However, i could be already behind by a lot..
help?
tnx

If you think he'll bet with hands like AK/AQ and pocket pairs, CRAI on the turn. If you think he wouldn't bet but would call a bet with a hand like 77 or 89, then bet turn and shove river.

I'm happy to stack off here. These types of players generally call 3bets too loose (esp in BSB situations) and stack off when they hit the flop at all.