[Nick Rivers]

There is no answer to this situation, because both calling and folding are losing propositions. This is the reality of position and game theory conspiring against you. Given a plausible range of hands for the villain, calling sucks and folding sucks. The lesson, as has already been indicated earlier in the thread, is that you should have checked the turn. Then you're left with a far, far easier decision when he either bets something reasonable (not all-in) or checks behind again.

This is a great spot to bet into a total fish who is either a calling station or a bluffing station. In that case, you're getting real value by either getting a bad call or calling a push from a player with a weaker range of hands. Against someone competent, the bet is no good.

But, seeing as how the OP didn't check, but bet instead, my answer is flip a coin and decide, call or fold. That's likely to be as good at making this decision as any amount of analysis. Your equity if you fold is $0, and I have to imagine that's roughly what your expectation will be if you call.