I have a 6x12 enclosed trailer that I use to carry my Goldwing (not a trike). The weight of the trailer with the bike inside is less than 2500 lbs so it does not have brakes. I have towed the bike on an open trailer before and like the fact that the bike stays clean in the enclosed trailer.
My trailer does not have an extended tongue so I have to be careful when I turn sharply, it is possible (mostly when backing up) to turn sharp enough to cause the trailer to hit the coach if you are not careful, an extended tongue mitigates this. My trailer is a single axle and as long as you maintain things a single axle is fine, but if I had it to over I would go to a 7x14 tandem axle, it is nice to carry some of the stuff (chairs, etc) in the trailer instead of the underneath compartments.
I do alot of work away from home and stay in the coach and use the bike as my exclusive transportation. When we both travel we will take the Mini, Mom does not drive the bike and wants to have something along she can drive...
2003 Pace Arrow 36B, W22 Chassis
Ultrapower ECM upgrade, CAI, Wires, Koni FSD