Getting from San Antonio Airport (SAT) to Corpus Christi. Airport transfers may not be the most glamorous part of travel, but that doesn't mean that the journey from San Antonio Airport (SAT) to Corpus Christi can't be enjoyable. Whether youâre looking for great value or great style, Ridebooker has a vehicle for you! Weâve rounded up the best ways to get you from San Antonio Airport (SAT) to Corpus Christi and put them into a handy list so you can easily compare your options.