This is a redneck approach on a little BX. Your tractor is obviously much larger.
A drawbar (Cat 2?) with a simple piece of threaded rod (5/16 or 3/8"?) looped up to top hook. Keeps things from spinning around. Although light, the rod hasn't bent yet.
You could mount a receiver to the drawbar.
My only cautions are (1) lifting the log too high may cause loss of weight on the front of the tractor...possibly flip it over and (2) the 3 point hitch, without any down pressure, the tongue of a trailer can lift the entire 3 PH assembly and possibly try to run you over.
Nice thing is just open the levers, and the whole thing lifts off in 10 seconds. Nothing to disassemble. Maybe could be scaled up to a larger machine.
Could possibly work a shackle on the top hook as well, which gives 2 hook points, but that also increases the risk associated with raising the log, etc.
You can see I also have a receiver hitch down low. Lessens risk of both issues above. A BX doesn't come with a functional drawbar for that purpose. That receiver and drawbar are aftermarket.