You have a 7.4L engine in a 2001 rig? The bigger/stronger 8.1L was released for the 2001 model year in GMC/Chevy trucks, but your motorhome may be a 2001 motorhome body on a 2000 chassis. So that would make sense.
The max weight rating of the rig (GVWR) and combined weight of the rig + any cargo or towable (GCVWR) are important numbers for you to research. Check for a data tag mounted somewhere around the driver's seat. Or, on a Class C that info may be on the manufacturer sticker on the driver's door frame or doorjamb. What do those numbers say? That will help us determine if the rig has adequate "headroom" in the towing department to handle a 3000# toad.
Your tow hitch may also be limited to a certain amount of weight, so check that too. 3500# is common on smaller motorhomes, so that would handle a 3000# vehicle obviously. Remember that anything inside the vehicle or the weight of any towing equipment is also being "towed" and needs to be factored in.
If all those numbers check out, the engine should be able to tow on grades... but it'll be working hard and you won't be going fast. A lot will depend on how much headroom you have with towing capacity, as far as the towing experience being enjoyable, white knuckle, or somewhere in between. My experience towing with a 7.4L engine is with our 3/4 ton Suburban, which I used until very recently to tow our 32' travel trailer that weighs about 9500# loaded. We live in the Midwest so it's pretty flat, but I want to be able to hit the mountains in future years. I bought a diesel truck to give myself some more confidence in that task.