Is the approach road to the 6k+ elevation challenging to an RV?

Not as long as you have a good engine for strong climb. Road is paved or smooth gravel including the road that goes on up from carvers gap. But check with park office because the gate is closed quite often too for that upper part. Though, if it is you can Still walk up it.

Local Guide, if you are familiar with hwy 441 across the Smokies, how does the road to the campground compare? (Thanks for your response)