I had my 57 chevy shipped from New Jersy to Kentucky, I don't remember the name of the company, But from what I understand they mostly use sub contractors that they dispatch for.
I know a few things that affect the price of shippers besides miles.
Does the car run or not.
Do you need and inclosed trailer
MY car arrived ok with no problems, the shipper told where it was at all times.
Now if one of our guys does hauling I would consider them, since they know how much the cars mean to us no matter what they look like
Otis