$3+R, big draw facing massive all-in overbet - call or fold?

[LCposter]

PokerStars No-Limit Hold'em Tourney, Big Blind is t800 (9 handed) internettexasholdem.com

saw flop|<font color="#C00000">saw showdown</font>

MP2 (t42579)
MP3 (t21605)
CO (t7780)
<font color="#C00000">Hero (t38780)</font>
SB (t22562)
<font color="#C00000">BB (t78405)</font>
UTG (t19000)
UTG+1 (t16825)
MP1 (t26384)

Preflop: Hero is Button with A[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/club.gif[/img].
<font color="#666666">3 folds</font>, MP2 calls t800, <font color="#666666">2 folds</font>, Hero calls t800, SB completes, BB checks.

Flop: (t3200) 7[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/diamond.gif[/img], 4[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, <font color="#CC3333">MP2 bets t800</font>, Hero calls t800, SB calls t800, <font color="#CC3333">BB raises to t77555</font>, MP2 folds, Hero calls t37130 (All-In), SB folds.

Turn: (t120285) T[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

River: (t120285) J[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

Final Pot: t120285

PS $3 rebuy, close to 3 hours in. About 2600 entrants, down to 700 before hand is dealt. Top 504 paid, but typical top heavy structure (1st is $5000+, 504th is $22), so gunning for final table.

Average stack around 23k, Tournament chip leader just over 100k. Villian is table leader, and has bullied a little bit, but no huge overbet like this before. After the push, I'm a little worried about villian having the 7-high straight, but I don't think he'd push the nuts this hard.

With a nut flush draw, inside straight draw, and maybe outs with the A, I have to call, right? Or does anyone fold and keep an above-average stack to fight another day?

Comments on all streets appreciated.

[Sherman]

So it cost ~37K to win ~42-43K right?

You have 8 flush outs and 4 straight outs plus the ace is probably good for 3 outs. 15 outs. Somewhat less than 60% to make your draw.

It looks like it is pretty close given that if villain has a pair or a set he has re-draws. If he has the straight, you only have 9 outs.

I don't know I'd probably fold here because this is real close IMO and you don't have much of your stack invested here.

BTW - Don't post the rest of the hand. It biasis results.

[Foucault]

I definitely call. No one has mentioned the possibility of Villain holding a worse flush draw, which even if infrequent, is HUGE for your equity.

BTW, I also like your first call. I would generally advocate playing faster with a big draw, but since it's a multiway pot, keeping others in to pad your odds and maybe even draw to dirty outs is nice.