South Shore Country Club is an 18-hole semi-private golf course in Hamburg, New York, built in 1920 and designed by Wayne Stiles & John Van Kleek. It sits in the $$ (moderate) price range for golf in New York. The season runs Apr 1 to Nov 1. Tee times can be booked 5 days in advance. Guests are welcome.
Details like fees and seasons change, so call the course before you head out.