Now....I am amzed no one has come up with this yet. DRIVE it man. Take photos along the way. A cross continent drive in your new Speedster? Awesome.
Car carrier 101. I had my 2 cars transported relatively close, Toronto to Quebec. Only 500 miles by a transport carrier. Cost about $400 each car. But, what I learned. You will more than likely have a carrier that needs to load and unload the car a few times along the route. Since yours is quite a distance, I would suspect that it would be loaded quite a few times. Meaning, that some car jockey is in your car doing donuts on the gravel parking area while they load another series of cars on.
You can get an enclosed carrier, but realistically it will be loaded and unloaded as well along the way. It isn't cost effective to close the truck in SC and put yours in the back and drive it all the way to Vancouver. So keep this in mind. You may want to have a plastic, shrink cover on the car so that SHITE doesn't drip on the top from other cars. DO NOT put a car cover on it, the wind buffeting will destroy the paint.
If you drove it up to Toronto or Montreal or trucked it up. You can put it on a rail car where it will stay all the way to VCR.
Good luck to ya mate and hope all goes well, Glad to hear you can get her into the country. Looks awesome.