Since I work in a scientific field, I have no problem with challenging my own assertions.
I thought about mink being raised in cages and wondered what they are fed. I went to the easiest source, Wikipedia, and got this:

Mink prey on fish and other aquatic life, small mammals (rabbits especially), and birds, particularly water fowl. Mink raised on farms primarily eat food not fit for human consumption, including expired cheese, eggs, fish, meat and poultry slaughterhouse by-products, dog food, turkey livers as well as prepared, commercial foods. A farm with 3000 mink may use as much as two tons of food per day. One Wisconsin fur farm uses 2 million pounds of expired cheese and 1 million pounds of eggs per year. In all, US mink farms use about 200,000 tons of dairy products.

So, I suppose it might be possible to do the equivalent with badgers in cages.