7-days in Port Aransas on Padre Island, Texas Another road trip to the Texas coast of the Gulf of America - this time Port Aransas, on North Padre Island. Similar drive south as our road trip to Galveston Island last year (The Beaches of Galveston Texas & Must See Attractions). The dogs slept most of the way on what was a fairly boring drive, except for the constant rain from the northern Texas border all the way to Corpus Cristi.