Montauk Downs State Park is an 18-hole public golf course in Montauk, New York, built in 1968 and designed by Robert Trent Jones, Sr.. It sits in the $$$ (premium) price range for golf in New York. The course is open all year. Tee times can be booked 7 days in advance. Guests are welcome.
Details like fees and seasons change, so call the course before you head out.