($11) Bottom Two on the Turn

3rd hand of an $11. No reads.

Party Poker No-Limit Hold'em Tourney, Big Blind is t15 (10 handed) FTR converter on zerodivide.cx

Button (t720)
Hero (t785)
BB (t460)
UTG (t800)
UTG+1 (t800)
UTG+2 (t895)
MP1 (t800)
MP2 (t735)
MP3 (t880)
CO (t1125)

Preflop: Hero is SB with T[img]/images/graemlins/heart.gif[/img], 6[img]/images/graemlins/diamond.gif[/img].
UTG calls t15, <font color="#666666">1 fold</font>, UTG+2 calls t15, <font color="#666666">1 fold</font>, MP2 calls t15, <font color="#666666">3 folds</font>, Hero completes, BB checks.

Flop: (t75) Q[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/club.gif[/img], 6[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
Hero checks, <font color="#CC3333">BB bets t50</font>, UTG folds, <font color="#CC3333">UTG+2 raises to t100</font>, MP2 folds, Hero calls t100, BB calls t50.

Turn: (t375) J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="red">Hero...</font>

Completing is fine here, I know that much. Bet the flop? Once I check, should I be shoving the flop when it gets back to me?

If I just call, I've got 670 in my stack. A pot sized bet is more than half my stack, so if I'm betting, I'm shoving, from a very elementary sense, right? (I'm still on a very elementary level here) My gut says to push here.

I'm interested in an answer, but I'm more interested in a why. I take the pot down, or get called by a J or a Q a whole lot more often then I run into another two pair or 66, right?

edit: Titles are nice!