too aggresive?

[rci97]

SNG down to six players. I hadn't played a lot of hands up to this point. Blinds 100 - 200.

UTG (me) t835 (dealt 7s8s)
t1135
t1400
t1190
SB t1240
BB t2200

I pushed all in with 7s8s. I felt like me stack was just big enough to get marginal hands to fold, given the stack sizes. Main concern was of course the big stack in the big blind. Was this push premature? Not that it matters, but I got called by BB with A2o (didn't really mind too much being called when I saw his hand). Ace high held up. In the long run, in these circumstances, do you think this is the right play?