Unavoidable bubble burst?

[45suited]

I felt kind of sick after bubbling out here. Up to this point, I hadn't been pushing much really. Does anybody avoid getting busted here? Two consecutive hands on PP22.

Blinds 75-150

Hand 1
UTG (2400) folds
Button (2615) folds
SB (Hero) (2095) dealt Qc6c pushes all in
BB (665) calls 665 (KhKd)

BB doubles up to 1630

Hand 2
UTG (2615) folds
Button (Hero) (1355) dealt Qc6c (again) raises all-in
SB (1555) calls 1280
BB (2250) folds

SB had KhQs, won the hand. I bubble out. Now, I really didn't want to push the very next hand (because it looks so tilty and will more likely be called) but I didn't think I had a choice here on the button with Q6s, good FE, and less than 10BB. Does anybody play these two hands differently? Disregarding on the 1st hand that he had a monster, I know that the BB is quite possibly more likely to gamble, but I can't see folding Q6s (an above average hand) because of this.

I THINK that I did what I had to do both times, but I'd be interested in hearing other opinions.