I can give you some numbers for towing services. Rudy Smith is in NOLA. Don't know if they'll come out, but I've dealt with them before and they are nice. (504) 522-8123
If I were anywhere near you I would help, but I'm in BR. Get a winch, a few pieces of rebar and some webbing and you can always make a ground stake to pull you're self out with
I wish I would have logged on earlier, I would have tried to come help. I have work tomorrow, but usually get off around 4pm. pm me your number if you cant get it out and i'll try to come help after work.
Get some weight in the bed and put some 2x4's under the rear tires to create traction. Turn traction control off, if equipped. Take it slowly and you should be able to get out depending on how deep you are. Once out, maintain a good speed to keep you from getting stuck again. What kind of truck are you in?