Byrncliff Resort & Conference Center is an 18-hole public golf course in Varysburg, New York, built in 1967 and designed by William Harries. It sits in the $$ (moderate) price range for golf in New York. The season runs Apr 15 to Nov 1. Tee times can be booked 30 days in advance. Guests are welcome.
Details like fees and seasons change, so call the course before you head out.