First off, very sorry to hear of the damage but glad no one was hurt and you were able to get everything back home. Always a positive in my book. Second, great job on the recovery. I can't wait to get my winch setup and it surely makes me think more about straps, pulleys and other things that would help in recovery.
As something mentioned before, a lot of these "tub" type trailers seem to have a much higher COG that seems to make them a little more tippy in off camber situations. I have been behind a AT Chaser that just about flopped. My wife and I were both like "Oh $h#t!!!" when we saw it bounce up and had the moment of balance waiting to see which way it went. Luckily it bounce back onto its wheels.
I think if the trailers were a little wider and lower, it would help to greatly improve the likelihood it would stay upright on a bad bounce. That is one reason we like our Kamparoo, most of the wieght is very low and being wide (almost square) seems to make it very stable behind us.
I also feel trying to get the tongue length right so the trailer tracks about the same path as the rig helps too, mainly because you don't run the risk of it clipping a turn off, placing it more inside where an off camber or ruts might be worse. I completely lucked out when redoing the tongue on the Kamparoo and with the longer wheelbase of the XJ (over a typical Wrangler) it tracks very close to the same, making it easier to get thru difficult areas.
Hoping you can get everything sorted out and back to the way it was. If nothing else, you have one heck of a story to share at the campfire.