11's - QQ... to push or not to?

[Landon_McFly]

Total number of players : 6
Seat 1: Villainaire ( $2175 )
Seat 8: archery95 ( $560 )
Seat 3: ParityGod ( $453 )
Seat 6: marshwhit ( $845 )
Seat 7: RayStewart80 ( $557 )
Seat 10: Dru1212 ( $3410 )
Trny:16137827 Level:6
Blinds(100/200)
** Dealing down cards **
Dealt to Villainaire [ Qd Qc ]
marshwhit folds.
RayStewart80 folds.
archery95 folds.
Dru1212 raises [500].
Villainaire is all-In.
ParityGod folds.
Dru1212 calls [1675]

ok... this is one of those plays that I made without really thinking. I was hoping the blind would call. Didn't expect the chipleader to have anything to do with it.

I'm wondering if my push was correct, because with my stack making the money would've been no problem at all. What should my play have been? Thinking back, maybe I shouldve just made a big raise instead of the push, but I'm sure I wouldve went all in on the flop and been called, or reraised all-in preflop.

This is my first hand posted so please bare with me