A modern retreat in Montauk with surf-inspired interiors is for sale, priced at $1.95 million. Other properties in the area are also on the market, including a home with a private beach cabana and a tiny house in the Amagansett Dunes. The prices of these properties vary, ranging from $1.3 million to $1.7 million for some, although one is listed at $5.35 million.