I don't know if this is an option but I think that HR is about following regulations and serving the people in the workplace who have the "real power". When I was in the military, I was able to transfer away from a boss I did not like by finding a boss who I liked who outranked him (my bad boss was an O-4 and the new boss was an O-6). Do you have a way to contact the people in the departments you are interested in transferring to?