Badger can be trapped as this forum has indicated at other sections. Or find a hole that tracks lead into but not out. Use a box or something that covers the hole so the badger cannot see daylight when coming out and set a 330 conibear over the hole. Remember to set back so it doesn't spring away when set off. An old washer tub works great.

Or a foot hold, not need for the darkening box. Set the trap to the outside or side of the hole as the badger does not crawl out with feet below but more like 45 % to the sides. I have heard that a gopher trap will work, as once they have a toe in the trap they stay put but personally I would use a #3 jump trap....