Analysis-wise I think you do a good job. A couple issues though.

1) His range is probably not exactly what you have listed and certainly could include hands like JTs, QJs, KJs so remember to take things that like into consideration. 6% on poker stove doesn't necessarily = 6% from any given player.

2) This is a good board for you, however, given the range that you originally gave there is almost no chance you are getting called when you bet, which brings us back to the point of adding those other hands into his range. I'd say it's safe to assume that he will be calling with all Ks some Qs and Ts especially if those hands also have a straight draw. So yes, you are cbetting as a value bet because you are ahead of almost his entire range if not all of it.

3) If he folds you have not turned your made hand into a bluff. It just means that the villain could have been holding the worst part of the range you gave him and thus deemed it time to fold. You still picked up the money, you still would have gotten value from other parts of his range so the bet was correct. Just because a villain folds in a hand does not mean that they either have the nuts or air.