I've been there driving my Jeep but it's been years since I was there. I would do it in an RV as I'm accustomed to driving on Appalachian Mtn roads. I drive like a "local". But then I also "cooked" the brakes on the truck (with the camper on it) the last time I was at Indian Boundary. I did 60mph on the straights (and some of the curves) going up from the Robbinsville side. I learned to drive in that area and did so for several decades. It is part of what I call "home" (AL, FL, GA, NC, SC, TN). I had forgotten how much fun it was to drive the Cherohalla Skyway. Since I don't know how confident you are in driving your RV, I would suggest you stay someplace easier to get into. While you are in the area, take a day trip (not in your RV) and see what you think of the road into Chilhowee.
https://www.forestcamping.com/dow/southern/chercmp.htm#chilhowee
Read the "overview" about the road in. https://www.campendium.com/chilhowee-recreation-area