Why did you stop giving information about villain's ranges after the flop, but then ask question about the turn and river?

It looks like Villain is willing to call/float pretty liberally OTF. So OTT, he can have any sets, any 2-pr except J6, KK,QQ,TT,99,77, Kx FD's and mid/low pr + FD's, J8s,J9s,JT+,T9,98,97,87,76,75,etc.

That runout hits his flop continuing range pretty hard, but he has lots of pair and pair+draw type hands that missed, too.

If I had any notion of how this villain would play 2-pair hands, I could tell you whether there's value in a b/f vs a c.