mebbe look at this from the another end.
that trailer has two wheels and a squared-off front.
the canvas/cloth body sits atop a square metal frame.
looks like there is an optional stroller kit with a cheapish dropdown front stand.
(see 00:20 in the video)

think you might be able to ruggedize/modify the front stand to hold the trailer stable while
you unhitch and park the bike separately?
with a single-arm mount, you'd need Trakhak wire-loop floor stand to hold the bike upright while
the trailer stand holds the trailer stable.