There isn't 3/4s of a mile of sand to walk on for the whole island in the most productive areas but there is 3 1/4 miles of rock. The Korker advantage is for getting out on weed covered rocks just off the "beach" - especially at more skinny water. Without Korkers you want to be sure you're fishing higher tides as you'll need that extra few feet of depth if you are not on fighing rocks. Frank Capone of CT Surfcasters has a nice Cutty article on the history here :
http://www.striped-bass.com/fishing/...g-history.html
This article has some images of what Cutty generally looks like
You can fish areas around the club or Churches Beach, or you can follow the paths to get you close to where you want to fish and then hop over the rocks. Keep in mind some of the paths have some vertical descent to get to the water's edge