I got it!A Fox Hunter Hunt!
It's kind of the best of both worlds. The fox hunters can enjoy their fox hunt and with the added element of them being hunted as well, they really will enjoy the added challenge. I keeps the quantity of fox hunters down so they don't over populate which will allow more room for the foxes and their natural prey (mice and other wild rodents, mostly)
I really enjoy human logic - because there are so many humans, we need to control the population of primary predators in the wild so they don't kill all the animals that are conveinent as food sources. A simple solution would be to start killing off humans - I'd suggest the really rich ones first - mostly because they take up the most land per person - And the challenge would be delightful! My guess is that Land Rovers can stop a typical shotgun blast so you'd have to take them down while their engaged in the woods in group activities such as... Fox Hunting!
It's all so circular!
pax yall