[bobbyi]

Without more information about the villain than you are giving us, I don't like it. If he has pocket sevens, you have sixteen outs. If he has QT, you have nine outs. And so forth. He needs to have trips or better quite often (someone else want to do math?) for folding the turn to be right here and I don't think you can pin him down that tightly. Of course, you can't be completely certain he would play something like 77 or QT like this (maybe he can fold the former to the flop c/r and check the latter back on the turn to get to a sd and avoid being c/r'ed again), but you also can't be completely certain that he never plays this way with a worse gutshot or that he always plays this way with an ace (he could three-bet the flop; he might even check it on the flop as a slowplay, although that seems much less likely from a solid player you have been c/r'ing a lot on the flop).

Given that he often gives up when you c/r the flop, doing that here was the right play, and once he continues, checking the turn is fine, but I think you need to take one off and then you can fold the river if you don't help.