We've done the flat tow a number of times over short (well relative to your 2000 miles) distances quite successfully, and have moved many CMPs by this method including C15A, C60S, F60L.
This is Euan doing a single handed solid tow of his C15A which followed along like a big puppy.
Things to watch when doing this sort of tow are to remove the front driveshaft, as well as the rear shaft or the axle shafts. Make sure the brakes aren't binding and the tyres are up to the job. Your tow vehicle also has to be heavy enough to cope.
Having said all that, if you have the resources to afford it, then it's best left to the professionals to do the job.
More towing images here