"Hey! I've been looking for a business contact for QOTSA in order to ask them permission to use a song of theirs for a student animation project, I've looked and looked but no luck, and the one that seemed valid, is no longer being used. Could you offer me any help? Or am I just really blind and haven't searched enough. Thanks!"
Well, from what I can understand you are looking for a contact with QOTSA ask them for permission. Tries twitter @qotsa them, if it fails it has the Fanpage too. Are two ways to contact them updated as well.
Hope it helped you.
Then tell me if it really worked out ok?!