Race or Stop&Go?

I've had this situation several times and am looking for recommendations as to which is the better play in the long run.

Late in a STT ($22-$55), 4-handed. Blinds are 150-300. Stacks are generally even, and you are a slight chip leader (you=3000,UTG=2500,B=2000,SB=2500)

You're in the BB with a small pair, 66.

The button open-raises to 900 and the SB folds. More likely than not he has a couple of high cards or Ax, although pairs are possible also -- Let's put his range as 55+,A2+,K9+,QT+,JT.

Yes, the button should have open-pushed but didn't. He is pot committed though.

In this situation, would you raise all in preflop and take your chances as a likely 55% favorite or do you pull a stop and go hoping that the Button will fold if he misses the flop? I'd think you'll have more FE on the flop in this situation since most flops miss most hands. You may even get a middle pair higher than yours to fold if there are scare cards on the flop (would you really want to call all-in on the flop with 99 if the flop is AQx).

Or, is the button likely to call with high cards regardless because he's pot committed? Would you be better off folding preflop and waiting for a more favorable situation?