There are two ways to get to this configuration: an extended ball platform (as Bob describes) and a rack designed to clamp around the square tube; or a rack with an integrated receiver. Either way, I personally would not do it because of the extension of the lever arm which the hitch load will then have to shift the tug's axle
loads and to steer the tug in sway.
Vic describes a common approach to the where-to-put everything problem, and I'm considering this myself; however, I think the balance problem should not be minimized. A couple of bikes and a rack out past the rear bumper could make a meaningful weight distribution change, which I think is worth calculating (or test-fitting and measuring) specificially before towing this way. If I put my rack on the back, I plan to move the spare forward of the axle
A carrier like this can be pulled off of the trailer and moved to the tug after unhooking, for day trips or non-trailer trips, which is appealling to me.
By the way, Vic: welcome! Now that there's a Fiber Stream
in the general area of Edmonton, maybe I'll get to see one in person.