Parks with a lake for swimming in Virginia beginning with a s?

Sherando Lake in Augusta County has a beach and swimming. It is more of a campground than a park, but it's available for day use. There are picnic tables and bathrooms. It's nice. Shenandoah Acres Lake near Stuart Draft was nicer, but it closed. It used to have a zip-line and a sliding board and a game room that sold refreshments and horseback trail riding. I heard that somebody got hurt and the facility closed. There are lots of other lakes in Virginia that are nice for swimming, but I don't know any others that start with an "S".