The Corpus Christi International Airport (CRP) (10 mi 15min) is served by United, Southwest, and AmericanAirlines.  The Omni hotel provides transportation between CC airport and it's hotel.

Other airports which will need a rental car to get to/from the Omni:

During May the temperature averages from a low of 71 degrees (F) to a high of 88 degrees (F) with high humidity.