Hampshire Country Club is an 18-hole private golf course in Mamaroneck, New York, built in 1927 and designed by Devereux Emmet. It sits in the $$ (moderate) price range for golf in New York. The season runs Mar 1 to Nov 30 (closed on Mondays). Tee times can be booked 7 days in advance.
Details like fees and seasons change, so call the course before you head out.