[Michaelson]

It would help if you gave a read on villain.

Typically, this line will induce a bet from most 7s (duh), aces, and perhaps air very occasionally. From his flop call, though, it looks much more likely that you're up against 99-QQ or a pair of kings, and most villains won't even contemplate turning these hands into a bluff on that board, IMO.

The turn check I think is good, let him have a crack at the pot once the scare card comes if he chooses. Once he declines to do so, though, I think you have to bet. You'll get called from a pair of kings often enough that I think it's higher ev than checking.