What I don't understand is that why did you just call the turn bet?
If you're beat, then you should just fold your hand. If CO has two pair, you have 8 outs, and you're getting 5: 25 and you need 17%. If you have a set, you've lost. If he has pocket pair or any Queen, you're a favorite. I think you should either push or fold. Given that you're OOP, a check on the river will just indicate weakness.