You could go to Harpers Ferry, WV and hike along the AT. The Harpers Ferry Historical National Park has a parking lot that the will let you use for a couple days. Just make sure you check in when you get there. They provide a bus that you take to the town (http://www.nps.gov/hafe/index.htm). I’m not sure where are you are used to hiking, but this hike is not very strenuous. You should also check out Dolly Sods, though I think the drive is over two hours. You can certainly turn a hike there into a multi-day trip, but just be careful as the trails tend not to be well marked the farther you go. FYI, the road up to Dolly Sods can be rough in some places.