Lunch in the Hamptons

[amiebd]

I am going to be out on the East End this weekend and am looking for a reasonably priced, "beachy" place to have lunch that isn't closed for the season, preferably somewhere in the East Hampton/Sag Harbor/Bridgehampton area. I normally go to "Lunch" (The Lobster Roll) in Amagensett when I'm out there, but am not looking to drive further east than East Hampton on this trip. I'd welcome any suggestions. Thanks!