[10NL] QQ in 3bet pot

Villain is 24/11/3 over 98 hands. FT3B 100%, 5/5. FTCB 0%, 0/2.

Had seen villain c/r flop as bluff ( the c/r was 3x villain bet on flop ) and had seen villain min/r turn when he made a straight.

PokerStars - $0.10 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

SB: $10.08
BB: $12.27
UTG: $9.25
MP: $10.71
CO: $11.56
Hero (BTN): $11.68

SB posts SB $0.05, BB posts BB $0.10

Pre Flop: (pot: $0.15) Hero has Q:heart: Q:club:

UTG raises to $0.25, fold, fold, Hero raises to $0.75, fold, fold, UTG calls $0.50

Flop: ($1.65, 2 players) 9:heart: J:diamond: 5:heart:
UTG checks, Hero bets $0.80, UTG calls $0.80

Turn: ($3.25, 2 players) 3:diamond:
UTG checks, Hero bets $2.30, UTG raises to $5.00, Hero ???

OK, I think we can assume villain has some sort of strong hand after he calls 3bet pre, probably like TT+, AJ+, something along those lines. Not sure whether villain 4bets KK/AA so have kept them in villain's range.

C/c on flop..I don't think this effects villain's range much at all as I think he would probably do this with all hands in his range pre, although he may c/r bluff with hands like AQ/AK on this board?

Also, again, I hate my sizing. It seems to be an automatic thing that I am doing atm just betting 1/2 PSB on any flop regardless of flop texture. Need to work on it, a bet of ~$1.25 seems much better.

C/r on turn...What does Hero do? Has villain slow played KK/AA? Maybe JJ, I think villain prob just c/c again with TT so we can exclude that. I'm not sure if villain has delayed a bluff, maybe he has AhKh/AhQh something like that and is going for a semi bluff? I guess villain could also have AhJh but I think villain c/r with this hand on the flop.

Another thought, I have noticed a lot of villain's open any PP from any position, but with an 11% PFR, can we include 99/55 in villain's range?