KK - 4bet pot

Villain: VPIP: 22/PFR: 13/3Bet: 9 (192 hands)

I would say villains widest range OTF is QQ-TT, AQ+. Maybe even only QQ, AKs. Maybe rarely the range includes AA-KK. (Or is this too tight?)

So how to play post-flop? I do not like a raise OTF because my hand isn't very vulnerable. Villain can't hold AhKh because I have Kh. And KJ is also not in their range.

The Q OTT is a really bad card. There is not much hands that I beat except AK which I block. Fold ok?

PokerStars - $0.02 NL (6 max) - Holdem - 5 players
Hand converted by PokerTracker 4

SB: 149.5 BB
BB: 148.5 BB
Hero (UTG): 150 BB
CO: 68 BB
BTN: 80 BB

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has K♥ K♣

Hero raises to 3 BB, fold, fold, SB raises to 10 BB, fold, Hero raises to 24 BB, SB calls 14 BB

Flop: (49 BB, 2 players) 6♦ Q♥ T♥
SB bets 24 BB, Hero calls 24 BB

Turn: (97 BB, 2 players) Q♠
SB bets 93.5 BB, fold,