Looks like I'm late to this thread, but I have frequently used a trailer on a bike with track ends without any problem.
Specifically, I've used a Wike cargo trailer with a hitch that connects to the axle with single speed with track ends. I've successfully hauled up to around 80 lbs. with this setup.
This particular bike has bolt-on hubs, and I just make sure to torque them really tight. I think it helps that the hitch attaches to the non-drive side; I've generally found that the drive side contributes more to keeping the chain alignment in place than the non-drive side.