Likely one of the best choices is going to be a "Hot shot" that specializes in transporting cars/pickups or "LTL"
Usually these folks run Dodge, Ford, GM Dually rigs with a Gooseneck or 5er trailers
These folks are generally far more flexible on what they can/will do and of course the $$$$$
Check in your area... Gotta be an outfit that can gitterdone...
Good luck