Sorry, I don't know anything about rates for doing such a thing, although I'm sure it will cost you a small fortune.
Unless you are extremely short on time and shipping the car is your only choice, don't count out the alternative of driving across country. It's not *too* bad -- I've done it myself several times (Mississippi to Washington in 2.5 days). It's an interesting way to see the country and can be somewhat invigorating depending on which states you drive through.
Good luck with your problem.
-G