KK 4NL - oop with ace on flop

If you're checking turn you should check river. Is betting turn that bad?

I honestly don't think he has that many Ax in his calling range to be honest. I figured pocket pairs and 78s+ or something pre. On the flop these guys will float with 88,99,Tx,Ax,KJ/QJ. Bikes was talking the other day about the bet-check-bet line and how much he hated it so I wanted to post this hand. The river is def too thin seeing how only a Q is the most likely to call. He would have to real bad to call 88/99/Tx here.