We towed a 1994 Acura Integra (a little over 3000LB weighed) for several years with no problems behind our class C. Actually, our class C had a higher tow rating than our current class A, somewhere in the neighborhood of 8,000lb where the current coach is 4000lb (both using actual coach weight subtracted from GCWR).
The class C actually towed the car a little better, IMHO. We got in the range of 7 to 8MPG towing the toad, 1/2 to 1MPG less than not towing.
As porscheracer mentioned, just make sure your hitch is rated to tow your toad, keep the GCWR under the chassis rating, get a toad brake (required in a lot of states and by some chassis mfr's, IMHO just good practice if not required) and you'll be fine!
Stewart