I've used Intercity before. Not cheap but great service. If you have an issue of Panorama, look through there. Lots of reputible ads.. Reliable, Intercity, Horesless Carraige. Trick is timing up the delivery and since they are LARGE rigs, you may need to be a little flexible on drop off/pick up spots.. no narrow winding residential streets / trails etc.
Or "UShip" and leave to a 3rd party. Given the value of the car, I'd want enclosed.. especially cross country.
Or, drive it instead!