I'm going to be the odd man out here and say that I know that you are choosing the wrong fork in the road shooting 00 buck on yotes, cats, and foxes.
When I was hunting in Baja and Sonora Mexico, we shot a LOT of buck shot at predators.
I tried 00 in a very good patterning shotgun, and I had more runners than I could believe. My theory at the time was to kill them further because of the larger pellets; well I did kill a few way out there. However, I lost a lot of yotes with them being knocked down and then running off.
The thought of shoting them a second and third time does not happen at least 50% of the time, because when you are shooting a shotgun, you are usually shooting in thicker cover. When you are shooting a running yote, he is rolling and flopping at 10-15 mph and is behind a bush, gully, or tree, VERY often. Give him a mili-second and he simply vainishes! You need to have enough pellets to disable him on the first shot; with more pellets, you have a good possibility to hit the yote in the head, neck, or spine.
NEVER assume that your shot on a yote will be in the center of your pattern!
If you only had coyotes to think of that would be one issue, but a bobcat and a fox are not large animals at all, especially once you see the body when you pull the hide off.
From my actual field use, I had rather use a 3" 1 1/4 oz of steel BB's vs 3" 18 pellets of 00 Buck because I will pick up the foxes and bobcats with the Steel BB's vs them running off with the 00.
I have been loading my own Buckshot and BB's since the mid 80's. I have tried all kinds of combo's with about every type of shot size available to the reloader from Ballistic's Products. It is a real shame that F Buck and Regular T shot is not available in Regular shot shells. I know that they are making the T shot in Heavy shot, but my shotguns did not pattern it well at all.
Good luck!