North Carolina has much to offer in teh way of sites to see, specially Civil War stuff. Here is a link to a map of Civil War sites you might find interesting:
http://www.civilwartraveler.com/about/maps/NC-State-Brochure-map-side.pdfIn the Western part of our state is the beautiful Blue Ridge Mountains, a large portion of which is viewable and accessible via the Blue Ridge Parkway. Of course there's Asheville, home of the Biltmore Estate
http://www.biltmore.com/ and also home to several craft breweries!! Great eats and a beautiful downtown area to explore. Not too far away is Mount Mitchell, the highest peak this side of the Mississippi River, and another short drive along the parkway is the famous Grandfather Mountain. Both of which might be challenging on a coach due to the elevation change and the winding roadway getting up there. No problems on a car or motorcycle, but a large coach would be challenging.
Further to the East on our Coast is a wonderful tour along the coastline from the Virginia border to the South Carolina Border. Historical lighthouses and fishing villages along the way. There are a couple of places along that route that may present some problems as they are only accessible by ferry....IE., Ocracoke Island. You may want to check with the ferry system to make sure they can accommodate a coach. Also, if you travel during hurricane season (June 1-November 30) you might find that our NC Highway 12 is closed due to washouts. Check with the NCDOT website before you head that way. On our southern coastal border there's Wilmington where the USS North Carolina Battleship Memorial is, Wrightsville Beach with great beach access, and some gorgeous other places like Ft. Fisher, which was a Civil War Fort.....
http://www.nchistoricsites.org/fisher/ Further into South Carolina, you'll definitely want to check out Myrtle Beach as a resort town with plenty to do. Continue on down Hwy 17 in South Carolina for about an hour and a half and you'll end up in Charleston. TONS of history there and a great place to have loads of fun! Be sure to check out the old Slave Market Place and Ft. Sumter
http://www.nps.gov/fosu/index.htmwhere the Civil war supposedly began. Reportedly, George Washington spent time in Charleston as well during the Revolutionary War at the Siege of Charleston.
So yeah, there's LOTS of must-see places through NC/SC....depends on if you have the time to stop and explore! Have fun!!!