South Course at Westchester Country Club is a 36-hole private golf course in Rye, New York, built in 1922 and designed by Walter Travis. It sits in the $$$ (premium) price range for golf in New York. The season runs Apr 1 to Nov 15 (closed on Mondays). Play is generally limited to members and their guests.
Details like fees and seasons change, so call the course before you head out.