overplay of AKs?

[IvyGrizzly]

*First hand of a pacific 10-man 10+1 SnG, blinds 10/20, I'm on the button*

3rd to act puts in a raise of 44, making it 66 to call. The table folds to me, and I reraise to 120 with AKs (on average in an SnG I'm putting the guy about 20% on pair that has me dominated, 30% a weaker ace or a shared AK, and the rest a pair 10-QQ.) The BB calls, and the original raiser goes all-in. The BB called without much hesitation, and I get the feeling he's going to be going all-in, so I'm getting 2 to 1 on my money right now. Sharing scares me a little bit.

Should I have folded this with the shows of strength and waited for a better time later in the tourney? Not reraising to see a flop seems like a bad play.