I only use Intercity Lines. They only do enclosed, but they really take care of the car and they give great customer service.
I've also used Exotic Transport and did a great job.
http://www.intercitylines.com/
If the car is nice don't skimp..
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"A ship in port is safe, but that's not what ships are built for."
See Bad Penny run the cones:
https://www.youtube.com/watch?v=8GUPPIX-92U
1971 Chevelle Wagon - Roadster Shop Chassis ProCharged Shafiroff LS and lots of yada yada
1968 Camaro - Project Track Rat - 440 RHS LS