Squeezed pot OOP KK A turn 20NL

[TheStudent]

SB ($22.81)
Hero ($20)
UTG ($25.97)
UTG+1 ($20.21)
CO ($35.61)
BTN ($25.89)

Dealt to Hero K K

UTG raises to $0.60, UTG+1 calls $0.60, fold, fold, fold, Hero raises to $2.60, fold, UTG+1 calls $2

FLOP ($5.90) 9 9 3

Hero bets $3.40, UTG+1 calls $3.40

TURN ($12.70) 9 9 3 A

Hero ?

Villain reg, 29/22 after 200 hands. No notes (shame on me). After my squeeze pre and his call pre, I think his range is like AQ, TT, JJ, QQ a lot and sometimes AK (suspect him to 3-bet pre, or 4-bet to my squeeze. What other hands are calling pre in those positions. Suspect him to check TT/JJ/QQ when I check turn (also to 4-bet him pre QQ prob), so can I c/f now?

[mythrilfox]

this is one of those really tough spots. betting has some merit as he probably calls again with TsTx type hands again, but that's not that many combos of hands, and he'll play AQ like this a reasonable amt pf and flop (as well as have some combos of flushes). so as a default i usually just go for a c/f here, esp because your squeezing range won't be perceived as that light anyway in these positions. but with history betting again (because he thinks you're light pre and barrel this turn 100%) and c/cing down are justifiable (the latter is a little ambitious, but is good if he likes to turn PPs into bluffs, since that is a pretty decent chunk of his range here)

[Probability]

We spoke about it on skype but I'll say it again here. I think c/f is probably best. maybe bet again with the spade.