I know we will need to be careful addressing this topic, when safety becomes a factor, it can really ignite people's emotions. I absolutely think you could do it, but you'd need to be careful. No more careful than pulling 10,000 with an HD pickup though.
If you look at the numbers, the total weight will still probably be less than the Cobalt by itself, so mechanically, as long as the hitch was well thought out, it wouldnt hurt the drive train. And from a towing perspective, the towing vehicle weight will be close to that of the towable trailer. Modern HD's can safely and easily tow 3 times their own weight, granted, trailers that heavy will have brakes and your tear drop may not. Thats for a hitch tow. If you go to a fifth wheel on an HD, I don't even know where the top is at. I know what the law says(20000 I think) , but I have seen 30,000 towed behind a pickup. 4X the weight of the truck.
Another consideration would be, if you did have a problem, you are pretty vulnerable in a goblin. That being said, a short jaunt out into nature for a night, if well thought out, would be a great trip
So yeah, I think it's do able, so much so, that I will probably start thinking about where a hitch would mount, before I powder coat