Welcome. Since you mentioned Virginia, I have a few suggestions in the BLue Ridge Mountains. You will probably need a map for this information to make sense but here goes. I assume you are entering Virginia from the North West. I will give directions from West to East.
1. Go to Front Royal, VA where I-66 and I-81 meet. THere are at least two neat roads around there. First is the Skyline Drive in the SHenandoah National Park. Second is a local road, VA 678. Starts off VA 55 between Strasburg and Front Royal. THis neat roads is paved and twisty. It ends about 20 miles south at VA 675. You can then go right to Edinburg and I-81 or left to Luray and US211.
2. Further south in Virginia is VA 42. THis is parallel to I-81 but stays in the mountains. VA 42 ends at Goshen and now some good roads begin. You can go left toward Lexington and Goshen Pass. I really like this road.
Or you can go right on VA 39 to VA 629 ending at I-64 at Clifton Forge.
3. My third choice I think is the best. This route is a turn back northeast from Goshen. Take Virginia 39 from Goshen to Lexington. THis goes through Goshen Pass and alongside the Maury River. Quite twisty.
But this is just leading to another really twisty road. THis road is VA 56 from Steele's Tavern on I-81 to Coleen on US-29. After Goshen Pass, you can go to Lexington on VA 39 to I-81, then north of Steeles Tavern and VA 56.
Or you can take VA 606 , a left after GoOshen Pass. Use VA 606 to connect with Steeles TAvern. VA 56 is a sweet ride. The Blue Ridge parkway is at the top, also a good twisty ride either direction, but on the eastern slope of these mountains is a fish hatchery and Crabtree Falls. And more twisties. You might drive to the bottom (Massies Mill) and think , I really like this road, and drive back to the top again to take the Blue Ridge Parkway north to I-64.
I hope all this helps. Read the owner's manual as many nifty features are described therein and drive safe and defensively. Ed