I think you are making this to compliacted...
You want to show this down. You know he won't give you a lot of action with a worse hand. You know he's probably continuation betting the flop near 100% of the time.
His range of hands here includes things that have you crushed, and some holding you have crushed like TT, JJ, QQ. You also mention that he calls down with any piece. So if he check behind the the turn, he is ALWAYS calling a river bet. So showdown this hand! It's that simple, check call the turn, and if he checks behind value bet the river.
Gabe
|