Minneapolis and Raleigh are about 996 miles apart by road. Split the difference and you arrive near Indianapolis, the city closest to the halfway point between them. That splits the trip almost evenly — about 10 hr 42 min from Minneapolis and 10 hr 22 min from Raleigh.
Over this distance most people will fly rather than drive the whole way. Indianapolis still makes a fair, central place for Minneapolis and Raleigh to converge, splitting the travel instead of asking one side to cross the country.
If Indianapolis doesn't have what you're after, Cincinnati and Chicago are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Minneapolis and Raleigh.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.