When I purchased a 73 vert off eBay that was located in Reno NV it was horrible to find someone to even go pick it up. It took two months of searching and then they did not do what I paid for. It was on an independent hauler with other cars. They had the option of being on the top deck for extra cost so I paid that to keep the oil from dripping and it was shipped in February so wanted it above the salt if any. When he got here it was on the lower level covered in oil and the rear bumper was against the frame of the hauler and ruined the center rubber rub strip. This is an original 48,000 mile car that had sat for the last 25 years. I took pictures of the area rubbing before he unloaded and then he would not sign for the damage. I never got anything to compensate for the damage. There is no recourse. You need to have a bullet proof written contract before you ship. You also need pictures as loaded and as received. DO NOT SIGN THE PAPERWORK UNTIL A FULL INSPECTION IS COMPLETE OFF THE TRUCK. I would go with someone with an enclosed trailer if I do it again. Don't remember cost I think $1,100 for open.
On eBay cars you can click on the shipping and the brokers will worry you to death wanting to book the shipment and give you all these great prices. When it comes time to book they all say they cannot find a carrier and the price starts going up.
For this reason the next two cars I purchased I went and got myself. I drove from N.C. to Grand Rapids MI and back non stop by myself, couple naps in rest area. The other was to Dearborn MI but it was during last years Mustang show at the Ford plant so I stayed the weekend and came back with the car and load of parts.
Anytime you turn something over to someone else you take a chance that you have no control over. Be sure you have insurance during the transport.