You might try the guys at Classic Car Guy. This is a link to their site.
http://www.classiccarguy.com/transportation.asp
I would encourage you to insure the car before it leaves on any transporter. The transport carrier generally has insurance coverage but it is
their company and
their insurance. If you have any problems it is nice to have
your insurance on the car working things out with the transport company.
Good Luck with the move.
Robbin
Midwest Classic Insurance
www.cobrareplicainsurance.com