I think I'd call turn and fold to a river bet. I'm not sure what average 10NL players are like but to make the turn fold you need to have a read or stats that confirm he's not betting much.

From a non-expert point of view: it seems that the lines here that we can take are all exploitable in some way.

If we're folding pairs on the Turn, then all the Villain has to do is barrel twice and he can fold out our pairs with all of the hands that we beat. If we're calling the Turn to fold on the River, then all the Villain has to do is to fire three barrels.

That said, by the River you look as though you have a hand like you have and the Villain can play accordingly. If the player usually bets Rivers only for value, then we should be folding. If there is a propensity to bluff the River then that leans more towards a call, but we'd need a strong read that this is the case.

In a vacuum I think we should call the Turn and put no more money in the pot on the River. We're BvB and Villain's range is wider than hands that have us beaten right now, and will have six outs to the River if this is true.