[Lew Silverman]

Virginia, and I'm guessing most states, has gone to a tiered system for the issuance of a CDL - Excepted intra-state and interstate and NON-excepted intra-state and interstate. The non-excepted licenses are somewhat like the old CDL's and require a current Medical Certificate. The "excepted" CDL's require no medical certification, but there are only a few types of vehicles that meet the criteria of an "excepted" license. For our purposes, one of the vehicle's is listed thus -

"Drivers who occasionally transport personal property not for compensation, nor in the furtherance of a commercial enterprise, who engage in interstate commerce".

It would seem, at least on the surface, if you are transporting your own property (your race car), not for commercial purposes (it's your hobby), driving between states, you would qualify for this license.

Your experience may vary, of course, but that's what's listed in the FEDERAL Motor Vehicle CFR.