5/10 Tough turn wpot with QQ 150BBs deep

[AAismyfriend]

Villain is Gawyn for those who are familiar with himI have never played with him before though, and dont have PA HUD running, and he hasn't been at the table long. From what I've been told he's pretty good and aggro. I'm pretty sure given that we're deep, and the pot is heads up that his range for raising the flop is super wide. I was totally lost as to what I should do on the turn here. I really hate all my options and I'd love to hear some thoughts.

Full Tilt Poker - No Limit Hold'em Cash Game - $5/$10 Blinds - 5 Players - (LegoPoker Hand History Converter)

SB: $1,062.20
BB: $995.00
Hero (UTG): $1,523.00
CO: $1,052.00
BTN: $1,962.00

Preflop: Hero is dealt Q[img]/images/graemlins/heart.gif[/img] Q[img]/images/graemlins/club.gif[/img] (5 Players)
<font color="red">Hero raises to $35.00</font>, CO folds, BTN calls $35.00, 2 folds

Flop: ($85) T[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/diamond.gif[/img] (2 Players)
<font color="red">Hero bets $65.00</font>, <font color="red">BTN raises to $235.00</font>, Hero calls $170.00

Turn: ($555) K[img]/images/graemlins/spade.gif[/img] (2 Players)
Hero checks, <font color="red">BTN bets $395.00</font>, [i]Hero ???