Charlotte and Minneapolis are about 939 miles apart by road. Split the difference and you arrive near Indianapolis, the city closest to the halfway point between them. That puts roughly 8 hr 58 min of driving on the Charlotte side and 10 hr 42 min on the Minneapolis side — the fairest single meeting point among the cities near the middle.
Over this distance most people will fly rather than drive the whole way. Indianapolis still makes a fair, central place for Charlotte and Minneapolis to converge, splitting the travel instead of asking one side to cross the country.
If Indianapolis doesn't have what you're after, Chicago and Louisville are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Charlotte and Minneapolis.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.