After a few decades of occasionally pulling trailers - including a period of camping with children, which at its, included one trip with a the long, but reasonably fast train of a Santana tandem (two adults) pulling an Adams Trail-a-bike tandem (two children), and a B.O.B. trailer- I've had experience with various combinations bikes and trailers and have pulled two-wheel trailers (Burley) at times.
I'll challenge the statement that two wheeled trailers are significantly more stable than one-wheeled trailers - especially when one considers downhill turns. In spite of more traction from two contact patches, I found the two-wheeled trailers tended to bounce and skitter around more than the B.O.B., which leans into the turn with the rest of the unit. I like to tell the story about trying to keep up with a former professional Xterra racer pulling a (single wheel) trailer on a long off-road, dual-track section in the Canadian Rockies. No instability or swinging noted.
That said - everyone's different, and I suspect there are fans of two-wheeled trailers who'll tell me I'm full of it.
In your case, I wouldn't give up the advantages of a single track and narrower profile based on other's assumptions about the physics of two vs. one wheel. If at all possible, try out the trailers before you commit.
In the end, unless I'm touring on a tandem (with extra luggage) or carrying something bulky like a pet or a good chunk of someone else's load, I don't use the trailer, but instead pack a reasonable mass of luggage on the bike. No extra tires, wheels, bearings, and weight to slow me up, and I'm not tempted to overpack. (Plenty of old threads with dicussion of pros and cons of trailers in general.)
Have fun. Throw a lot of flashing lumens off the back with your red blinky light (e.g. Cygolinte Hypershoshot) and don't worry about the traffic. (I carry three and usually run only one or two at at a time, in case I use the battery up with higher lumens and shorter flash times while climbing in the mountains.) Amazing how many folks slow up to comment on the visibility of the lights or occasionally mention it at the store or restaurant, when they recognize me a few towns up the road.