There are 4 US Post Offices in Carson County serving a total of 5,731 residents equating to 1,433 residents per post office. It's estimated that approximately 9,147 packages are handled across the 4 county post offices annually. Carson County is a county located in the U.S. state of Texas. As of the 2010 census, its population was 6,182. The county seat is Panhandle. The county was founded in 1876 and later organized in 1888. It is named for Samuel Price Carson, the first secretary of state of the Republic of Texas. Carson County is included in the Amarillo, TX Metropolitan Statistical Area."