600 PL 6 max - KK laydown

[hansarnic]

Opponent seems TAG, but is pretty good & can make plays if the situation demands it. My image is very LAG, but I think he’ll have noticed that I have generally only been committing a lot of money postflop where I have a strong hand / draw.

He has about 900 I cover him.

He limps UTG, I raise pot on the button with KK.

Flop is JT4 rainbow. He checks I pot it, he calls.

Turn is J, still rainbow. He checks I bet 100, he raises another 200.

I end up folding but don't feel good about it.

Thoughts? Who folds here? Who prefers checking behind on the turn and calling the river bet?