Bubble just recently broke. BB had built his stack largely due to a nice run of cards (half of his stack came from an earlier hand when a player pushed, and both he and a 3rd player called - he was holding AA and they held up). He had also reraised with AA (again) not too long before this.

PokerStars No-Limit Hold'em Tourney, Big Blind is t200 (3 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

SB (t2000)
BB (t9015)
Hero (t2485)

Preflop: Hero is Button with T, A.
Hero raises to t500, 1 fold, BB raises to t1200, Hero ???

He's giving me 2.5-1 here (another 800 into 2000), but calling will leave me with only 1100 behind. So...
1) Give him credit for another strong hand and throw away the ATs?
2) Call with 2.5-1 and position posftlop?
3) Push back and hope the ATs holds up?

i think i would either fold or shove, your going to have to put all the chips in after the flop anyway when he continue bets...

yuck...he seems like he's going to have you beat most times, so i would have to think folding is the best play...if i had more chips i would call getting such a good price and take a flop, but you are too short here

I instashove and its not close. Granted I play higher limits so the re-raise range widens, but I still think you are ahead of his range. If he has you dominated so be it. You accomplished the first STT goal of making the money, now its time to get some chips for the win. If it was the bubble, folding would be the play.

3 handed A10 is pretty big. Putting in 1/5 of your stack and then folding is not something you want to be doing regularly. I'm only folding here if I playing against a supreme nit. BTW, calling is terrible and worse than folding pre. Possibly folding postflop would be the most disgusting thing ever.

I've read a few of your topics and I have some advice about marginal hands. Think about how you want to play the hand before you raise. The AQ hand really stands out. Blinds are only 25/50 and you only have 1000 chips left. When there were limpers you raised to 300 or 30% of your stack. If you decide to put that much of your stack out there you want to play the hand fast. Me personally, I don't want to be going broke with AQ when the blinds are only 25/50 and I still have a 20BB stack. You can wait for a better spot. I might limp and see a cheap flop. It might sound weak, but raising to 300, bricking the flop and having to fold is much worse. So, my advice is make these decisions before you raise. Table dynamics are very important here. If you have a few calling stations at your table raising the AQ is not a good idea with a shortish stack

One way of looking at this that helps:

He is pretty much never folding to a shove, and calling is an awkward option, so just assume he has moved allin.

You're geting 3085:1985, so you need about 40% equity for this to be a breakeven shove in terms of cEV. Assuming a 50/30/20 payout, you are already in the money means that it is actually a 30/10 payout. There isn't too much value in passing up edges to move up one more spot so I think I'd go by that 40% mark.

I think it's pretty close. I probably shove though because if you fold, you're going through the blinds which would seriously hurt you.

oooo 3 handed. Call because you need chips and you dont really have time to find a better spot.

So what if he's raised with aces previously?

It wasn't that he raised with AA previously, it was that he reraised with AA previously - this was the only time the whole tourney that I remember him reraising with a hand. He wasn't very aggressive at all (note the earlier call with AA), so the fact that he came back at me with a reraise here is what concerned me. If the positions were reversed and he open-raised, I would instapush my ATs. Here, though, my read on him told me he was representing genuine strength with the reraise.

In any case, I figured my ATs was good enough and I did push back. He was holding AA...again. It got me wondering whether I made a mistake by not trusting my read. I think the only hands he would make this move with that I'm ahead of here would be the paint between my cards: KQs, KQ, maybe KJs. Highly doubtful he's making this move with a worse Ace, and everything else in his range either beats me easily or has the advantage on a coinflip (if he's reraising with a mid pair). I don't think I'm getting the 3-2 odds based on the all-in odds.

If you had a commanding chiplead there, what would you do against a button raise and you held A9, or A7s in the SB? What would you do with a pair of 4's pair of 9's?

From your perspective you should be willing to race.

If this guy really was passive and only reraised with huge pairs then maybe you can find a fold. However, a SNG is only an hour long. You might only get one or two big pairs in that hour. It's hard to have that accurate a read, but sometimes you just have to go with it. I played the final two tables with a guy that made two absolutely terrible plays and got himself a gigantic chiplead. He should have run over the table but he rarely raised, he limped into a bunch of pots even 5 handed and even on the button several times. He didn't re-raise once in two hours (FT was looooong). I had said to myself if he raises me I'm folding. Heads up (I went out 3rd, he re-raised and had Aces). So maybe you were right to consider folding but your reads have to be spot on or you will lose $$$ in the long run.

Just realize you are putting yourself in a bad spot, giving up 800 chips (500+ blinds next two hands) and you'll probably have to go with the next decent hand you pick up and it might not be as good as ATs.