Piggly Wiggly is under a mile from the resort. Soon, there will even be a closer grocery since Kroger has purchased the mall and is redoing that complex to add a Kroger grocery, apartment complex and more shops. The mall will be a more modern strip mall style (with Belk and Kroger as the anchors).
Construction has not yet started, but the north end of the present mall will be torn down to accommodate the changes to be made.
A little over the mile in the opposite direction is a great grocery - Fresh Market. There are several Publix and Harris Teeter groceries nearby too.