You're going to hit your gutshot on the turn roughly 8% of the time.

So 92% of the time you're wasting your call.

(.92) -3.6
+
(.08)(10.8 + 23.33)
= -3.312 + 2.730
= -EV

These calculations assume that you can even stack your villain every time you hit. He could very well be c-betting with AK and shutdown after the flop. OR he could have AQ/KQ and hit a boat to beat your straight. So there's a lot going against you here.

A few general principles:

1) Don't chase draws on boards where you won't be confident that you're good when you hit (paired boards, or flush boards when you're drawing to a straight).

2) You have to be getting a VERY good price to chase a gutshot profitably. I'll never chase even with only a 1/2 pot sized bet.



Also: Your preflop raise and call are both very loose given your position and -EV vs most villains but especially one who is as tight of a pre flop raiser as this one is.