KK 3bet correct post flop play

Sooo you check OTT because you want to give a free card to his draws and Ax hands?
I would just bet OTT and then decide what to do OTR.

I had got 2nd nut fd, i thinked check back is not a bad option this board. And if i cbet the turn, and river raise about half pot or more easy fold over pairs. Turn if i cbet, i cbet about 1.5 or more, so i pot commited, i had got 50BB when we see the river.
If villain had AK or AJ, 6 and 5 outs, i should not defend my hand, AQ and A10 5 outs. And some outs maybe out, if he have not got ace spade. So defend my hand 3-4 outs the turn, why?

You can get value from some draws and weaker made hands when you bet OTT. So I'm not only thinking about the protection, I also want to get money from villain. You can cbet smaller OTT than 1.5$ and if you think you are behind, you are not pot committed. Fourth spade could kill the action.

What is our goal when we check the turn? If villain has some gutshots, we just let him see a free card. We manage to keep some hands in his range that will not pay us any more money anyway. Or then he might get induced and bet big OTR as a bluff, but how do we react then? Do we call?

I think it is just more simple to bet something like 1$ OTT and then probably check behind OTR. We get value from some draws and weaker made hands, we get some protection, we "prevent" villain from bluffing us and so on.

Agree with previous post.
There are cards that can come OTR that we dont like (ace or a spade).
Bet OTT and if river comes blank bet again if he checks, call if he bets. If he check raise OTT it sucks, but you can get away if you dont bet big.

I would also check turn. You don't have to worry much about Ax hands because he will mostly fold AJ, AQ and Ax on the flop. He will not have many nut fd there because those fold mostly on flop unless he floats OOP AsQx and similar which most of players fold OOP on such board.
The issue with bet turn is that you likely make to fold his Tx hands, and 7x, 88, 99 (big part of his flop call range) that are more willing to call you on river after turn gets check check. So i think that with turn bet you isolate vs better hands.

Ok, 3bet pot, but i had got only one pair and pot is huge, why i raise, if this hand did not any protect. And most of players who playes here do not call turn, if he AK, AJ fold to flop cbet, only hand what pay, AQ, KK or just only hands who beat me. 1010, 77, QQ, AA, AsKs, AsJs. He played 16/11, i think only one hand AQos who paid two street in 3bet pot. I thinked nitty or just tag player almost never call only gut shot the turn.