andrewaust,
I don't know about La specifically, but. If you are near a railroad yard that loads and unloads containers, and if you know someone that works there, or just go there and explain your situation to them, maybe they would be willing to help you out. They have giant cranes and side loaders that do this 24hrs a day, 7 days a week.
I retired after 32 plus years with a railroad, and I've been to many yards that do this, so I know that they can do it, if you can just find one and talk to them about your situation.
The type of yard that you need is called an "intermodal" yard.
Good luck, dgh