I found this little gem on Reddit. The artist’s name is Kawehi and while she doesn’t exactly have Cobain’s growls and distortion, she has her own flair. I’ll totally overlook the use of the auto-tune-like filter she’s using on her voice as it lends extra atmosphere.
If you like this, go ahead and check out her other videos on Vimeo — there’s a cover of NIN’s Closer (warning: contains profanity), and a pretty stellar Mashup called “Monster Mash” (warning: contains Muse. I will not be responsible for any physical or mental health issues obtained by listening to Muse, up to & including everything from donning a hipster persona to the development of allergies).