Swannanoa Country Club is an 18-hole public golf course in Afton, Virginia, built in 1920 and designed by Pete Lang. It sits in the $$ (moderate) price range for golf in Virginia. The season runs Apr 1 to Nov 1. Tee times can be booked 3 days in advance. Guests are welcome.
Details like fees and seasons change, so call the course before you head out.