There are 3 US Post Offices in Yancey County serving a total of 18,117 residents equating to 6,039 residents per post office. It's estimated that approximately 28,917 packages are handled across the 3 county post offices annually. Yancey County is a county located in the U.S. state of North Carolina. As of the 2010 census, the population was 17,818. Its county seat is Burnsville. This land was in inhabited by the Cherokee prior to European settlement, as was much of the rest of the Southern Appalachian region."