There are 5 US Post Offices in Clarke County serving a total of 15,540 residents equating to 3,108 residents per post office. It's estimated that approximately 24,804 packages are handled across the 5 county post offices annually. Clarke County is a county in the Commonwealth of Virginia. As of the 2010 census, the population was 14,034. Its county seat is Berryville. Clarke County is included in the Washington-Arlington-Alexandria, DC-VA-MD-WV Metropolitan Statistical Area."