$11reg heads-up, deep stacks, interesting draw

I've played 2 SNGs the over the past month and a half, I just finished one of them. Villain had been sitting out for the first few blind levels and had pretty decent luck at showdown after that. Seems semi-sold. I've been quite aggressive around the bubble and just busted the 10BB shortstack in 3rd when i pushed AJ into his BB and got him to call with QTo! :) Preflop flat call of his reraise is questionable. What would you do?

PokerStars Game #8054706667: Tournament #41128057, $10+$1 Hold'em No Limit - Level VI (100/200) - 2007/01/21 - 15:42:55 (ET)
Table '41128057 1' 9-max Seat #8 is the button
Seat 6: BambiBus (6390 in chips)
Seat 8: homerdash (7110 in chips)
homerdash: posts small blind 100
BambiBus: posts big blind 200
*** HOLE CARDS ***
Dealt to homerdash [2h Ad]
homerdash: raises 400 to 600
BambiBus: raises 400 to 1000
homerdash: calls 400
*** FLOP *** [Ah 3h 4h]
BambiBus: bets 5390 and is all-in
homerdash: ???

Preflop, I tend to just dump it once he min re-raises. Difficult though because you're getting 5:1 on the call - but if he has Ax or a pocket pair you aren't getting the right price to see the flop.

On the flop, I would call. Top pair + flush draw + gutshot is a very strong hand, even more so heads up. I would say he has a flush draw, Ax with no draw or a pocket pair - this sort of AI overbet on the flop is very often a draw thata doesn't want a call. The only hand you're really fearing is Ax with a better heart kicker but with this kind of draw I call every time.

I kinda want to fold but I just don't think you can. This is also a really weird way to play AxBIGHEART.

Code:

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Board: Ah 3h 4h
Dead: 

        equity        win        tie              pots won        pots tied       
Hand 0:        58.485%          56.15%        02.34%                  3891              162.00  { AcAs, KcKh, QcQh, 3c3s, Ac7c, KhQh, AcTh }
Hand 1:        41.515%          39.18%        02.34%                  2715              162.00  { Ad2h }

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