Two proven winners to catch a badger.

Badgers love carrots. You must first wash carefully with one of those no scent soaps.
Then you do the same with your camo outfit.
Set yourself up about 25 yards from his den, and get real comfy. The get out your carrot call and give it a few weeks. Works every time, but the call is tough to find.

They also like peas. So if the carrot call method fails, scatter some peas around his den. Set back and wait. When he comes out to take a pee, shoot him.