There are 2 US Post Offices in Aransas County serving a total of 20,073 residents equating to 10,037 residents per post office. It's estimated that approximately 32,039 packages are handled across the 2 county post offices annually. Aransas County (/\u0259\u02c8r\u00e6nz\u1d7bs/ \u0259-RAN-ziss) is a county located in the U.S. state of Texas. As of the 2010 census, the population was 23,158. Its county seat is Rockport. The county was formed in 1871 from Refugio County and organized the following year. It was named for the Rio Nuestra Senora de Aranzazu, a Spanish outpost in early Texas. Aransas County is part of the Corpus Christi Metropolitan Statistical Area."