The sandhills currently have amongst public-access courses Pinehurst #2 (and #4, and #8), Dormie Club, Tobacco Road, Pine Needles, Mid Pines, and Southern Pines.
If you're talking about top-100 golf courses, America's best is going to be Bandon, though certainly some will say Carmel, Hawaii, Kiawah, or even Kohler.
If you're talking about sheer volume of courses, the answer is going to be Myrtle (with some saying the Sandhills, and others saying Vegas).
But North Carolina might have the appeal if you are looking for both quality and quantity. To the extent "Hawaii" is a single (if expensive) option, that might also be a candidate for best-of-both-quality-and-quantity.