You don't say, but... I assume you are in an RV of some sort - not tent camping? Not much in Corpus Christi proper, however there are many options in the area; Rockport and Aransas Pass on the mainland just north of Corpus offer numerous RV parks and resorts, and of course there is Port Aransas on Mustang Island. There is also the Padre Island National Seashore on North Padre Island. My choice is Port Aransas. It's a funky little town with several nice RV parks, lots of night spots, and some really good food, and it's a great fishing spot. Oddly enough, in my opinion, the best food in town is in the numerous bars. If you are into beach camping, get a permit and dry camp right on the beach at the water's edge. Fish the surf, or hire a local captain to take you offshore for deep sea fishing, or fish the Laguna Madre for Redfish and trout.
'99 Diplomat 38A- "High Plains Drifter"
'02 Wrangler Tender