Double up and play for first or guarantee cash?

[Supersetoy]

Just one of the SNGs I played last night that has been bothering me. I don't have the converter (since I'm here at work) but the subject is what I was thinking. There's almost no way I'm getting 1st in this STT (with a stack of ~1200 and blinds of 150/300).

Here's the setup:

Button: 900
SB: 5500
BB: 400
Hero: 1200

All have been playing extremely tight, although the person in the SB went on the huge rush of cards and took out 5th and 6th places (Other large stacks) in 1 hand.

I know that in one more orbit more than likely the person in the BB will be gone (he will have 250 after the SB hits him and therefore less than the BB, thus a forced auto-call).

I'm dealt AQ off and decide to push. Unfortunately for me I get called by the big stack with 10 10 and he hits his set and I'm gone in 4th (probably to the delight of the other short stacks).

Am I wrong to make this push or not go for the (basically) guaranteed cash?