Keswick Club is an 18-hole resort golf course in Rivanna, Virginia, built in 1992 and designed by Arnold Palmer. It sits in the $$$$ (splurge) price range for golf in Virginia. The course is open all year. Tee times can be booked 1 year 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.