Is my pf push ok? (it's close)

$5 buy-in STT at my place
We started out with stacks of 700 chips. We increased the blinds every 20 minutes. The blinds started at 5/10, then 10/20, 15/30, 25/50, 40/80, 50/100, 75/150, 100/200. When this hand occurred, we were at 100/200. Only 3 players were left. My friends see me as a rock. They think I only play premium starting hands, and when I raise, they think I have the goods. This allows me to steal very profitably. However, I've been stealing a lot this game, and that is the only reason I'm still around. They might suspect something at this point.
Hero is in small blind with 38o.

Button (900) folds.
Hero (1300 after posting)
BB (1700 after posting)

I decided to push here. Is it +EV?
And on top of that, is it +EV enough to make it a decent play?
Villain in on a loose (but not maniacal(sp?)) calling range.