I don't like checking behind on the turn. If he's drawing, he'll need to be calling preflop raises with T8 to have made his hand. He's called twice pf, so it looks drawy or PP looking for set. We don't yet know he has a K, Axs+, 89 type hands are still calling that flop bet. I'd bet ~3/4th pot on turn. He's checked to you. If he has a set and is planning a c/r, that's dangerous for him. I don't think he's doing that. If he comes with you, you're probably behind but you've avoided giving away a free card to beat you and you know more about villain's holding.