since then, I discovered a little known free public beach. Shhh, don't tell anyone cuz parking is limited: Great Rock Bight Preserve 37 Brickyard Rd, Chilmark, MA 02535
short hike but worth it
& don't miss jumping off the Jaws bridge. it is conveniently along the protected paved bike path, at approx. 267-125 Seaview Ave, Edgartown, MA 02539 (& next to State Beach, good public beach w/ free parking)