Satellite on the bubble - push into minraiser with KK?

Late in a small satellite with 49 entrants. 6 tickets. 7 players left. Blinds 300/600. You're the second shortest stack at the table in the BB with T4400. Shortest stack has T3000.

Large stack (T12000) in MP minraises to 1200.

You look down at KK. What do you do?

Results in white:
<font color="white">I was the big stack and I had A8. BB pushed and I figured that there was a big chance that I was a dog. But I still called for a chance to finish the satellite.
If I lost, there'd still be the shortest stack left to work on and I'd be in decent shape to coast my way to a ticket. I caught an ace on the flop and won the hand. And I can't figure out if risking a knockout here is +$EV for the KK hand even if he's a 70/30 favorite.</font>