Monster draw, normally this is easy (ARRIN!) but we are deep

Opp is unknown besides that his datamined stats are 44/18/2.2 over 50 hands. When he 3bet me on the flop, my first thought was allin, which is pretty standard 100BB deep, but then I figured that we are pretty deep, and that he'll almost never do this without twopair or better (or so I guess). But if I just call I will have a hard time getting paid on the turn or river, unless its one of the 3 nonclub jacks I hit.
So, whats the optimal way to play this hand? Is allin the best anyway because even though I'm only slightly ahead of twopair on the flop and behind sets theres enough dead money in the pot to justify an allin?

Party Poker No-Limit Hold'em, $ BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG ($223.95)
MP ($96)
Hero ($305.80)
SB ($207.35)
BB ($96)

Preflop: Hero is Button with 9, T. SB posts a blind of $0.50.
UTG calls $1, 1 fold, Hero raises to $5, 2 folds, UTG calls $4.

Flop: ($11.50) 5, 7, 8 (2 players)
UTG bets $8, Hero raises to $24, UTG raises to $50, Hero calls $305.80 (All-In), UTG calls $223.95 (All-In).

Turn: ($615.25) 4 (2 players, 2 all-in)

River: ($615.25) 7 (2 players, 2 all-in)

Final Pot: $615.25

Hmmm, I don't think if he's deep as well that he would do this without a set. Maybe I'm a puss but when 200bbs+ I wouldn't even get 2 pair in on the flop.

I normally like to push these draws too but when deep like this maybe calling the 3 bet would be better. Your flush might not get paid if it only hits on the river, but your straight would be pretty nicely disguised and I think you would still get a nice chunk of change off him if you hit that.

His small raise gives you the right pot odds to draw on the turn. I don't think he's calling your deep push without a set, which you're far enough behind that the dead money doesn't make up for it. In the heat of battle I play it the same, but after running it through pokerstove I think you should call.