Permits and R values?

Hello folks. Attended Skips class and built a couple small cabins, but now I'm getting ready to tackle something a bit more difficult, a permitted home! In discussing with my county building department, I think we can work through the structural issues, but the insulation R values of the walls may be tough to show. They have guidelines for typical milled log homes with a thickness of tight fit between logs, but the idea of full-round logs with air gaps sealed with insulation and chinking was alien to them. So a question for the group: have any of you had to deal with this in permitting? Is there any data out there on R values with this type of construction? Thanks

We had to do a ResCheck and found the r value of logs passed everything no problem.

Thanks Shark. I've played with ResCheck calculators, and I haven't seen how one can specify round-on-round logs with air gaps filled with insulation and chinking. The calculator just looks at "minimum log thickness". Were you able to specify this particular type of construction with ResCheck?