Barrel turn or check behind?

y you no give reads on a vil dependent question? 'vil is a TAG' is pretty meh.

that being said, I dont mind a b/c/b line here, but better players than myself are saying to barrel so yeah...
its kind of been burned into my brain to barrel any picked up equity..but i dont see how were getting 3 streets of value from worse here, and i prefer checking turn to checking river when we dont flush.