It can be like the wild west with law enforcement, private land owners, lease holders, and public hunters defining rules differently. Find you a copy of Corpus Christi Code of Ordinances Chapter 33-75 and call the controlling authority and or area Game Warden to ask about where and how you want to hunt. Good Luck.
And watch out for the Gators. There are some big ones. I do take my dog on gator hunts, but I won't take my dog on a duck hunt down there.