Doug
First see here
Dick & jo's most excellent cobra adventure
Yes you can tow a Cobra in a trailer with a Motor Home. Light trailer = the car and just about any class A's will pull it. Diesel would be the best.
We went out with our MH towing the Cobra in a Serpent Express trailer for 2 months. OUrs is a diesel but it only has a 5000# hitch. Newer can haul up to 10,000.
Good luck
It was fun for us.
I type to dang slow.