Do you ever chase a gutshot? Party 2/4 6-max

[Ghazban]

Villain is not good; I'm at my parents' house and don't have PT so I'm making reads the old fashioned way (i.e. no stats). He's passive preflop, seeing a lot of flops but not raising too much. He also always raises too small postflop (minraising and just-over-minraising are his main moves). Effective stacks $430.

Folded to me in CO, I make it $16 straight with QsTs, button and SB fold, Villain in BB calls.

Flop: K93r ($34) -- with one spade, but I don't recall which one

He checks, I bet $25, he checkraises to $60, I call. Horrible?

My thinking is that I have 4 outs to the nuts plus a tiny bit of equity for a backdoor flush. On the 4 outs alone, I need 11:1 immediate+implied odds so I basically need to stack him if I hit on the turn, fold if its a brick and make a decision if its a 4th spade.