Big Stack Poker, Big draw in position

[TheDunePariah]

Just sat down at this table, unknown villain. With 100BB, the turn play is easy given my new gutshot straight draw - push into villain's bet. But with 200BB I'm not sure how to play this turn - if I raise and villain pushes I don't know if I can call even with my monster draw (FE = 0), and pushing for about 160BB seems a little ridiculous (or is it?)

Appreciate any help here on how to play with big stacks in this kind of situation.

Absolute Poker No-Limit Hold'em, $0.50 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

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

Hero ($101.80)
SB ($59.24)
BB ($21.50)
UTG ($156.35)
MP ($91.73)
CO ($30)

Preflop: Hero is Button with J[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/diamond.gif[/img].
UTG calls $0.50, <font color="#666666">1 fold</font>, CO checks, <font color="#CC3333">Hero raises to $3</font>, <font color="#666666">2 folds</font>, UTG calls $2.50, CO folds.

Flop: ($7.25) 3[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/diamond.gif[/img], 9[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
UTG checks, <font color="#CC3333">Hero bets $6</font>, UTG calls $6.

Turn: ($19.25) 7[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">UTG bets $13</font>, Hero calls $13.

River: ($45.25) 2[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">UTG bets $29.5</font>, Hero folds.

Final Pot: $45.25