And you would normally want to use a heavier vehicle to tow with, but if you have good working brakes on the trailer, you should be OK, assuming you have good tires and do not approach the GVW of the trailer and axles (plus tires).
I was pulling my Ford Model A and had a tire blowout on one of those cheap 16' flatbed trailers everyone has. What a scare from the completely shredded tire. Honestly, it must have been a hundred different pieces and I never seen anything like it. They sell really cheap tires on those trailers. Hopefully, you have some kind of military trailer or something better than what I have. Of course, I replaced all wheels and tires now, but even with dual 3500 lb. axles, I still won't allow GL to load over 4K pounds on it. I would make 2 trips first.
Good luck on your trip. Enjoy!