So each time I visit my friends in Corpus, I pass over the Nueces and have been thinking up ways to go down it. Here's what I'm looking into.
Put in at the bridge on highway 666. This link should take you there. Linky
Then take out at the mouth. It would be easy to be picked up just to the right after you enter Nueces Bay.
What does that look like about 5 to 7 hour float depending on flow rate? Has anyone been down this section? See many gators?