I have shipped a couple of cars...you put a listing and multiple shipping companies bid for you business.
http://www.uship.com/
Dont give them money ..unless they are willing to go through an escrow company or willing to list on ebay..they can easily list it with a "buy it now price" and you then get the buyer protection backing up to 50k in case you never get the car.
https://www.escrow.com/
You may also want to get the car inspected...they kinda do a piss poor job honestly. They listen to it, take a bunch of pictures check for leaks under car....nothing more than that almost a waste of money but better than nothing...
http://www.inspectmyride.com/?client...d=300670033036