Southern Dutchess Country Club is a 9-hole private golf course in Beacon, New York, built in 1902. It sits in the $$ (moderate) price range for golf in New York. The season runs Apr 15 to Oct 15. Tee times can be booked 5 days in advance. Play is generally limited to members and their guests.
Details like fees and seasons change, so call the course before you head out.