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You probably know as much about the design parameters for a single wheel trailer as anyone at this point.
You have three axes of rotation (hitch, swivel and trailing arm), each can have different preload and dampening that interact in varying ways. The only other things I can see are the lever arm from the hitch axis to the swivel and trail (or caster).
Are these interactions milder when the swivel is in the middle of the trailer or at the rear? Really close to the hitch?
The questions are rhetorical, I'd settle for a link to the Allstate research.
If the swivel axis is pitched forward a little, when the wheel swivels in reverse it would tend to lift the trailer. Maybe that or increased caster would dampen the wobble.
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