I say fly into Atlanta, get your bike, then head up to Cherokee, NC and get on the Blue Ridge Parkway and ride it up to Front Royal, VA. It is a 477 mile road with NOT a single stop light or stop sign. Motorcycle nirvana for sure. That will take about 5 or 6 days and the scenery is incredible. Lots of nice B&B's and resorts along that route. You would not regret that ride.
Once in Front Royal you should turn left and go into West Virginia enjoy some of the wonderful roads there. The FJR eastern owners meeting (EOM) had their annual ride/meet in Front Royal in 2003, and Lewisburg, WV in 2007, and Johnson City, TN this year. They did this for one reason: easy reach to some of the best roads in the eastern half of the US. You could easily spend a week or two getting back to Atlanta on some really magnificent and iconic roads.
Heck - if you planned to ride western NC alone you could spend 2 weeks and have the time of your life. Deals Gap, Cherohala Skyway, Hellbender, southern end of the Blue Ridge Parkway and North Georgia are all awesome areas to ride in. Many many nice places to stay in that area.
Area Maps:
https://www.tailofthedragon.com/maps.html
Best time of the year for this region is usually early May through mid October. The two weeks before public schools let out in May or the weeks following Labor Day (Sept 1) are the best times because most of the tourists are gone and the roads are a bit more available.