I've only used a 2 kid trailer (100 pound load capacity) without the "seats" installed, with my bikes. They work fine, but are easy to overload ... so far, no problems with that.
Quite handy. I never leave home without the trailer.
For my Miami Sun standard "old fogey" trike, I had the "John Deere" green and yellow 4 wheel garden tractor trailer (with a 1,000 pound load capacity ... only had it overloaded a couple times)
Thinking of getting another of those 4 wheel trailers and making a hitch so I can attach it to the bike.
As far as maneuverability, as long as the trail or gate is as wide or maybe a little wider than the handlebar, I've never had amy problems.
I run SLIME in all my tires, if you are worried about the right trailer tire going off the pavement or "road", you can always put one of those airless foam tubes in.