Good info., thank you, Scott, very thorough. I'll be looking at this in more detail, as your post gives me hope I can accomplish my goal. The idahotote site was interesting, but I already have an enclosed trailer for the bike. Problem with that is lining it up - or rather, lining up the coach - to connect the two.
Rather than the challenge of backing up the coach to a hitch, I'm assuming there must be a way to maneuver the trailer to connect to the hitch, manually. The trailer's too heavy to do so alone, and by hand, but if there were something like, say, a hand truck, or easily maneuvered way to move the trailer to the hitch, that would work for me, too....