I don't think you can rule out a strong K in the KTs hand, especially with the flop overbet. People love to slowplay trips.

With the turn C/C I think we are down to some J's, JJ+, QT, and Kx with an outside shot at 88. Gotta figure most other underpairs are giving up on the turn. I would almost expect a weaker K than yours to raise this turn, but can see KJ/JJ/K8/88 flat calling the turn. since we have no reads whatsoever we don't know if our opponent realizes he is out of position, or what that will mean when it comes to the river.

With no read whatsoever, I may check behind the river given the chance. I would hope that you would have at least a general feeling about whether or not our opponent is a total moron. That kind of knowledge could really help us play the river a lot better.