I've ran into this. Broken down while out in the field. Stupid me, I put the loader down, the implement (cultivator) was already in the ground.
The tractor simply died and I couldn't restart it. After exhausting all I could do in the field, it was time to take it to the shop. I disconnected from the implement and put the loader in float (already there) I then jacked up the loader with a high lift jack and put the loader in neutral. This kept it from falling. I then towed it out of the field with another tractor. I dont remember blocking up the loader, but perhaps I did. It would probably be a good idea to do so.
I believe the issue was an oil sending unit. Probably something I could have diagnosed and repaired in the field, but, meh, it was only a short drive to the shop.
But, if you wanted to load it up on a trailer, probably a winch or tow vehicle to pull it up the ramps. But getting the loader up, thats the trick.
You could, probably, also use another tractor's hydraulics to lift the FEL. Disconnect the hydros from the dead tractor, hook them up to a good tractor, and lift it up. Might need some longer hoses and adapters though.