Green Lakes State Park is an 18-hole public golf course in Fayetteville, New York, built in 1936 and designed by Robert Trent Jones, Sr.. It sits in the $ (budget) price range for golf in New York. The season runs Apr 15 to Nov 30. Tee times can be booked 4 days in advance. Guests are welcome.
Details like fees and seasons change, so call the course before you head out.