Just as a rough estimate I know a few guys who have spent upwards of $800 to put a vehicle on a flatbed and have it delivered across state lines. Your description didn't say where you are trying to ship your vehicle to or from, if it has to be shipped across water or if you plan on putting it in a steel container.
With that information I can give you a better estimate but at this point I would look for auto movers on Google. their prices will vary depending on how far you need to go, if you want your car shipped in a container or on an open flatbed, and your pickup and delivery instruction.
Thats alot of money for "I want to take my car for a joy ride" but if you are planning on staying where you are then its not so crazy.
hope that helps
13 WRX Hatch - Cobb OTS Stage 1