How far down in Virginia are you traveling? If you're going far enough, might as well swing over to Front Royal and ride the Skyline Drive. Cost you $10 and the speed limit is 35mph, but it's got some beautiful views. And if you want to keep on riding, once you get off the end of that you can get on the Blue Ridge Parkway and ride another couple hundred miles. Speed limit is 45 mph and more beautiful scenery.