How big a loop and how exactly you running the snare in relation to the hole entrance?
I had a badger hit a coyote bait station the other weekend, moved about four yards of earth, made a big heapin mess, and drug the deer ribcage halfway down the hole. I drug the ribcage out about ten feet away, dug a sort of trench through the dirt pile around the hole for a "trail" and set the snare with about an 8" loop about 4" off the ground in that trench. He was dead as disco the next check.
Taken four coyotes off it since too. That big pile of stinky fresh dirt adds some BIG TIME eye appeal.
Only badger ive ever attempted to snare, so take it for what its worth.