Blind steal and resteal aftermath

The button opens for a raise. His raising standards are pretty normal, say any pair, any ace, a decent king. two cards above a ten, etc.


I three bet from the SB with QJo and the BB folds, button calls.


The flop comes rags, say 8 high. I bet and the button calls.


The turn is another blank. I think that the button is pretty tenactious and will call to the river with any ace or pair but will fold without one of those (maybe on the turn, maybe on the river). What is my best approach from this point on? (Of course, if you disagree with the line of play prior to the turn, please feel free to discuss that as well).