Skyline drive begins in Front Royal, VA which is about 80 miles west of Washington DC. Just hop on Skyline drive and take it south all the way through the Shenandoah National Park ... the end point is basically the town of Waynesboro, VA.
From there you can either turn around and do this awesome road again or you could conveniently continue right on to the Blue Ridge Parkway (... another fan
You'll be riding through the beautiful Shenandoah National Park and see great mountain views and wildlife like deer and an occasional black bear ... but you'd better pay attention to the road as its loaded with turns!
It's 105 miles of twisty mountain roads....all smooth, clean road. Speed limit is only 35 mph due to the wilderness and mountains. You may reach 50mph but even at 35 it's very relaxing and enjoyable. Note: it can be damp in the morning from the elevation of the mountains.
Camping....hiking...sightseeing throughout Shenandoah National Park. Plenty of places to pull over, stretch the legs, and take in the beautiful views.