From North Carolina, we'll drive to anywhere in NC, SC, Georgia, or Florida - 8-10 hours or so max. The I-95 corridor is an easy drive and I've traveled that road so much on business and vacations I can nail the exact ETA at certain landmarks/exits within a couple minutes as long as there are no traffic jams.
Going north, we have driven as far as DC (about 6 or 7 hours), but anything farther north than that and we would probably fly just to avoid driving in the Philadelphia-New York-Boston corridor.
Not many timeshares we would want to visit to our west in drivable distances, so trips west-bound will all be by plane. Since Charlotte is American Airlines' second largest hub, we have nonstop flights to most any city of any size. The farthest timeshare trips we've ever taken are to California, many trips to Hawaii, and last year my wife and daughter went to the Marriott Vacation Club near Paris, France.