I looked up the Chevy towing guide and noticed that they say "small camper" and show one that is rather aerodynamic.
Colorado towing guideI would be more concerned about air drag than weight. I don't understand the concerns about the narrow wheelbase. That is an issue on high CG loads but a trailer hitch is a low as you will get. The short wheelbase could be an issue when trying to control side to side sway. There doesn't seem to be many aerodynamic 27ft long campers out there but if yours is and you have a good hitch with sway control and proper mirrors it would probably work.
I suspect that a camper shell that would keep air away from the front of the camper would do you a lot good too.