Being out of position here causes an uncomfortable situation. Next time, I advise posting the river action in this situation as Hero checks, ignoring what Button does. As played it looks fairly obvious that villian had a 10. (edited in : AFTER we see he checks behind)

One play I like quite a lot is screwing balling the turn (that is check raising). It makes your initial bet look like a continuation bet. The problem is when he checks behind with a draw.

On the river you have $30 left. I would bet $15 and call a push.