Maybe try the Colorado Outfitters Assn website and do a search for the unit you’ll be hunting.
That will give you an idea who’s registered and maybe help you out.
To be legal follow the advice above, probably only one outfit that can help you without committing a felony. Pinpoint your spot and cross reference with the USFS (or blm) for permitees. My llamas go up there a lot not sure if that is coincidence of my location or if there are few outfitters.
just an fyi, I hunt that area and at one time looked for the same thing. there are a few but I spoke with 3 places and they wanted me to have it quartered, bagged and packed to main trail. personally, I don't want to pay someone to do the easiest part of the trip, getting off a mountain is the hard part once I hit the main trail I'm good. maybe I just called the wrong people, if you find someone who actually packs out elk let me know please.