Suggestions for Enclosed Transport

I need to move an FA from Florida to New York. I am trying to find a commercial transporter specialized in moving race cars/exotics to handle the job. I already contacted Intercity Lines, and was told "no" after describing the car to them. Based on the customer reviews online, Reliable Carriers is also off the table. Does anyone have any suggestions and/or experience with this? I am trying to save myself the four days it would take to drive down and back to move it on my own. It might inevitably come to that, but I figured I would reach out for some opinions first. Thanks.

-Kyle