QQ OOP against big stack

[Spidar]

B&M $250 buy in, 3k to start, 3rd lvl- 25/50. 10 handed. Numbers approx.

Hero- 4k
Villian- 8.5k
Average- 3.5k

New to table. I've seen 2 orbits and found the play to be somewhat weak/passive.
I had seen Villian call a p/f raise oop with J9, turn 2 pair and then check/call it down. Based on his stack, the table and the early level, I speculate that he may be playing a lot of draws, hitting and getting paid.

Hand:

Utg: limps for 50t
Villian(UTG+1): calls
MP-1: calls
MP-2: calls
4 folds
Hero(SB): Q [img]/images/graemlins/spade.gif[/img] Q [img]/images/graemlins/club.gif[/img] : raises to 350t (more?)
BB: folds
UTG: folds
Villian: calls
2 folds.

Pot is 900t

Flop: A [img]/images/graemlins/spade.gif[/img] 7 [img]/images/graemlins/spade.gif[/img] 2 [img]/images/graemlins/heart.gif[/img]

Hero leads for 700t. (if you hate it, pls say why.)
Viilian calls.

Pot is 2300t

Turn: 5 [img]/images/graemlins/diamond.gif[/img]

Hero?