I bought one out of fort Meade a couple years ago and towed it home, it is a 67 with 67 dated tires. I would Jack it up and check for play,and two it home, I left the tarp and racks on mine , but whatever works for you.
Good luck and congrats
Duane
I've bought a few with 1960's tires, too. I'm amazed they're not rotted, but I wouldn't trust them with a load. Those trailers I typically sold for what they cost me, and warn the buyer about the dangers in mounting split ring rims like modern ones.
Op, your FJ should have no problem towing it. I'd second the motion to have a backup plan in place, and watch the bearing temps. But it does you no good to be sitting on the side of the road with hot wheel bearings and no way to get it home. If you can't come up with a good failover plan, you might be best off going to get it with a one day flat deck trailer rental.
Edit...did it again...this thread is over his ten day recovery window, unless he worked it out to take longer...