I agree that Rhodes would be a great contender. The only reason I didn’t include it in my original list is that it’s a 10h6m drive from Greensboro (9h35m from Charlotte, 10h58m from Durham), which was longer than the 7ish hours OP was hoping for. Of course, the college search process is filled with compromises from what is one’s ideal, and this might be a compromise that OP’s family would consider.