I think I play this the same except shove river over his bet. If he's calling a minraise then he's calling a shove, it can't be that much more. Betting turn some relatively faggoty amount like 10bb is probably not a bad move here, but I don't hate checking, so long as we're shoving over his river bets.

*edit - same line post flop, I meant to say. Pre I'd be 4betting for sure.