NL100- What's my action with pocket sixes postflop?

[vizer02]

First, I'll ask about what to do on the turn. After a little while, I'll post what I did and ask about the river.

The villain is AAPokerGirl, he's 21/4/2 over 10,000+ hands. He's a tricky player that is capable of flatting hands like J's - A's preflop, and on the flop would probably flat with A,Q K,Q and J,Q as well as flush draws and straight draws. He's also probably not going away on the turn with these hands, and if I check he'll be firing any two cards. Edit: He's also one who would flat the flop with a set or K's and A's and would be raising the turn with them. I'm running at 16/10/3 for the session.

Full Tilt Poker, $0.50/$1 NL Hold'em Cash Game, 9 Players
LeggoPoker.com Hand History Converter

SB: $268.30
BB: $170.40
Hero (UTG): $100
UTG+1: $96.50
UTG+2: $87.50
MP1: $65
MP2: $114.85
CO: $100
BTN: $219.10

Pre-Flop: 6s 6c dealt to Hero (UTG)
Hero raises to $3.50, 5 folds, BTN calls $3.50, 2 folds

Flop: ($8.50) Qd 4s 3s (2 Players)
Hero bets $7, BTN calls $7

Turn: ($22.50) 5c (2 Players)
Hero ??