I realize that the following hand is one of those unfortunate events that sometimes happens, but I was wondering what that majority would do in the following situation:

There were 4 players left in a $20 SNG, with only 3 paying spots. The blinds were 75/150. I had about 1800 in chips, another player had about 1500, and the other two players were over 4000 in chips.

I posted the BB of 150. UTG folded. The short stack was on the button, and he came in for a minimum raise, making it 300 to go. The CL, with about 5700 chips, called.

I held QQ. Liking my hand, and having only 1650 in chips left after posting the blinds, I felt like my choices were to go all in or fold. Feeling I had the best hand, I went all in. The short stack folded, but the CL called with AA. I did not improve, and I busted out short of the money.

People were playing reasonably tight, solid poker. This definitely applied to the short stack, but even the CL was folding to raises preflop when he appeared to be beat. The minimum raises suggested to me that one or both of the others had a real hand -- which obviously could have included Aces or Kings -- but also could have been hands like AK or a lower pocket pair. Given that my hand was behind only Aces or Kings in the range of possibilities, I opted to play.

I suppose one argument for folding was that the short stack obviously liked his hand enough to raise with it, and since the CL called, I might have opted to fold and let them duke it out. If the CL won, then the short stack might have either been busted or crippled in the process.

Which course would most of you have chosen: make your stand with this hand or fold and hope that the CL beats up on the short stack?