Its not a fun filled drive with a motorhome. People are not always happy when you take up two lanes to clear the middle of the tunnel.
It is boring if you are just driving from point a to point b, partiuclarly north of Asheville where what you see is lots of condos, and dumps a mile off the route.
I would park and drive parts of it. There are soem museums, one about minerals, off the route and there, is a lake on the Blue Ridge where you can rent a canoe, or take your own and fish for trout and several other features.
Even at springtime, you will find too much traffic on weekends, north of Asheville. the few rest stops will be crowded and the one larger on on the west side will have all the dumpsters and rest rooms full and kids running through the stream etc.
There is Lineville Falls and Cave and there is Mt Mitchell etc where you can get your hat blown away and aired out, real chilly.
Down through the Smokies is, I think one of the better stretches but you will want to park somewhere, off the route and take a car and hike some of the trails, enjoy a lunch watching the hills, Rotendendron, which will be blooming There's in some altitudes in March. There's Clingman's Dome and hundred other places. You will have to make your entertainment. There is a lot of trout fishing est of the rout in NC and some west of it.
When we were younger we enjoyed the long stretches or endured them more. Get a little grouch after a while now. Of course you can go a bit further east and run the Tail of the Dragon but definately not in the MH.
The park map does not mention the thins off the route very often.
We don't like detailed planning now but to get the most of it you will want to plan stops often.