Thendara Golf Club is an 18-hole semi-private golf course in Eagle Bay, New York, built in 1921 and designed by Donald Ross. It sits in the $$ (moderate) price range for golf in New York. The season runs May 1 to Oct 10. Tee times can be booked 2 days in advance. Guests are welcome.
Details like fees and seasons change, so call the course before you head out.