What do you do? Online poker style

I am in a 20 man 2 table satellite to the Sunday million on pokerstars. 4 players get seats and I have made it to the bubble. We have played on the bubble for about 2 orbits with almost every pot being taken down preflop to a shove with zero calls so far.

Blinds are 400/800 with a 50 dollar ante. 3 players have similar stacks for about 4000 chips 1 player has about 7000 chips and the chip leader has about 11000 chips. I am on the button with about 4000 chips and find ATo. Small blind had 4000 chips and Big blind is the chip leader with 11000. The pot right now is 1450. I decide the best play is to shove. Small blind folds and big blind snap calls with AKs. Board runs out with no ten and IGHN.

My question is about the shove. Is that the correct play, or should I fold here and wait for a more premium hand than ATo? Looking back I think I could have folded, but I am not sure if I am just being results oriented. I have only 5BB so I can only survive for another 2 orbits or so. I doubt I am going to find a better hand than ATo in 2 orbits.

So basically thats my bad beat story for the weekend. I lose $215 with ATo v AKs.

PS. I also outlasted poker pro "Gank" in this satellite. Maybe I should turn pro and make millions.