Located roughly 25 miles south of Myrtle Beach, South Carolina, Pawleys Island offers a completely different vibe than its bustling neighbor.   The four-mile-long sliver of sand and its quiet mainland just across the causeway are part of the barrier islands that make up South Carolina’s Hammock Coast. Lowcountry cuisine, historic stays, and family-friendly environs attract travelers seeking a relaxing alternative to crowded beaches and cookie-cutter accommodations. Developed as a summer resort in the 1700s, Pawleys Island, South Carolina, is one of the East Coast’s oldest beach vacation destinations.…