100nl: QQ OOP 200bb deep vs apparent tagfish, turn play?

[barryc83]

Ive only been playing with this villain for a total of like 40 hands across 3 tables. I 3 bet him twice on another table and he shoved on me both times, I mucked TT and AQ. Then on this table I 3bet him in a BTN vs blind with AKs, he pushed, I called and he showed AQ, thus my 200bb stack. Thats all the info I have on him. He appears to have some sort of clue pf, not a lim/calling station or anything. In hindsight, not betting the flop closer to pot is dumb but ive been on a break so forgive me.

Poker Stars - No Limit Hold'em Cash Game - $0.50/$1 Blinds - 6 Players - (LegoPoker HH Converter)

SB: $104.10
Hero (BB): $201.50
UTG: $100.30
MP: $71.10
CO: $157.45
BTN: $202.45

Preflop: Hero is dealt Q[img]/images/graemlins/diamond.gif[/img] Q[img]/images/graemlins/spade.gif[/img] (6 Players)
3 folds, <font color="red">BTN raises to $4.00</font>, SB folds, <font color="red">Hero raises to $14.00</font>, BTN calls $10.00

Flop: ($28.50) 8[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/heart.gif[/img] (2 Players)
<font color="red">Hero bets $20.00</font>, BTN calls $20.00

Turn: ($68.50) J[img]/images/graemlins/spade.gif[/img] (2 Players)
Hero ???