I have used Exotic Transport a number of times with good success. It's an enclosed transport.

 

Truck was dropped off last night around 7pm. Shared the ride with various interesting cars and arrived safe and sound. Very good experience with a local guy. More photos to follow of the truck. But here's one as it arrived.



Long trip from CA to NC

 

Here is a thread from Ford Barn. There are several independents that advertise on FB.
Shipping A Car - The Ford Barn

 

We had terrible luck with Door to Door Transport. They kept pushing out the pick up date. When it got to day 9, we cancelled with them and contacted Cavalier Auto Transport. They had a driver within two days, and the truck was on it's way within 5. Truck traveled from LA to Southern Tier of NY, so it was on the right path for CNY Transport to pick up and deliver.