There are 11 US Post Offices in Vernon County serving a total of 30,224 residents equating to 2,748 residents per post office. It's estimated that approximately 48,241 packages are handled across the 11 county post offices annually. Vernon County is a county in the U.S. state of Wisconsin. As of the 2010 census, the population was 29,773. Its county seat is Viroqua.