I used to work for Ford's SVT group and we used these guys all the time to move cars, including everything from production cars, Ford GT's and million $$$ prototypes:
http://www.reliable-carriers.com/default.cfm
There is no doubt Reliable will get it there safe and sound.
If you want a 100% personalized transport you might want to check with these guys:
http://www.thegtguy.com/
Rich Brooks, the owner is a fantastic guy and is highly regarded within the Ford GT community. They may be able to transport your car for you on a dedicated run south, or they may be head south to working on a GT owner's car and can take your car along for the ride.