The Charlotte people will have to chime in on which courses meet those guidelines. I've only played about half the courses there, and none enough to attest to the navigation, or cart suitability. Other than Renny is, or at least used to be, tough to navigate due to overlapping layouts.
Both courses at the SC/GA border are level and moderate length. Should be not too tiring, and cart friendly. Triplett has 3 sets of tees, giving you options as to the length, and many holes are significantly different lines from different tees.