How did I play this top and bottom two pair hand?

[Poker Jon]

Hey all,

Stars 1 table SNG I am in the BB (T1600), blinds 25/50. Min raise from UTG (T 1800) have no read on him yet, so put him on AA, KK, QQ, AK or AQ.

4 callers of the 100, and I have Q6o in the BB, and decide I'm getting 9:1 for my extra 50 and call. Pot 500.

Flop comes Q 8 6 rainbow.

SB checks, I check (knowing that UTG will bet - I think). UTG bets out T300. 1 caller and it gets to me. I push all in thinking unless he has AK, he's not getting away from this. UTG calls and other caller folds. UTG flips over QQ for trips, and I go out.

Should I have called the min raise in the first place. If so, does anyone get away from this hand?. Even if I bet out say T500 and UTG raises all in, I still call IMO (he could have AA, KK AQ and make the same play IMO).

Any of you play it differently?

Cheers

Jon