I'm Surprised at the Lack of Replys
When I went on-line for quotes for shipping a non-running 164 from Washington state to Wisconsin, I was unindated with e-mails and calls from various trucking companies. I think I paid about $750 in an open truck.
I don't have any personal experience with the shipper that contacted you. Be aware that most of these companies subcontract the actual shipping to independent truckers. The one I picked last time told me they use their own trucks, but mine arrived on an independent truck. Not that that's necessarily bad, but I have had problems on other shipments when the trucker called the owner and told him he needed to drive the car to the airport in SF, because he would not drive into the city, even through the deal was for door to door transport. The seller called me on a weekend wondering what was going on, and I couldn't get in touch with my shipper. Eventually everything worked out, but it was a hassell.
I think that the higher end shippers with enclosed trailers mostly use their own trucks, but I had a friend pay for enclosed shipment of a Cobra replica, and it arrived very dirty???.
So ask lots of questions, particularly in regard to whether your car will ship on their trucks or not.