10+1 Pocket Aces. Push this flop?

I don't have the hand history, but I've been thinking about this one a bit today.

1st level of 10+1 Hollywood Poker NLHE SNG
Blinds are $10 $20
Hero has 1480 in chips and is UTG
Hero is dealt A-A
Hero raises to $80
Villain has 1440 in chips and calls from cutoff

[pot=190]

Flop comes J 9 6 rainbow.

Hero bets 100
Villain miniraises to 200
Hero?

Now, I figure this guy could be miniraising anything from
A-J down to J-2. Maybe he even has middle pair and wants to define his hand. He also might have flopped a set, but I'm not going to sweat that too much here. I think at this level it's more likely that he's got top pair. If I'm beat, I guess I'll just go ahead and fire up the next game.

Now, my first instinct was to push (and I did), but I got to thinking that a call or a mini reraise might have been a better play here. His raise definitely screamed strength to me. I'm wondering how frequently a call would induce another bet on the turn or if a mini-raise will get him all fired up about a showdown.

I guess a push can't be a bad play here, but I'm wondering if it's the best approach. Our stacks are deep and it's very early in the tournament. Am I going to stack my opponent frequently enough in this situation to push?