The Golf Club at Mansion Ridge is an 18-hole public golf course in Monroe, New York, built in 1999 and designed by Jack Nicklaus. It sits in the $$$$ (splurge) price range for golf in New York. The season runs Apr 1 to Nov 1. 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.