My suggestion is to look for professional help. Dating an otaku girl won't help at all, it'll just keep you more alienated.
It's usually good to be with someone who shares the same interests, but would you date an alcoholic girl just because you suffer from the same illness?
No offense, but considering your state, doing this will
only bring you harm. Keep it easy, decrease your daily anime dose and don't forget to pay a visit to the psychiatrist, he (she) is the only one qualified to advise you. Also talk to your parents, I'm sure they'll understand and be prepared to help you. Then you could look for an otaku girl.
No matter what, anything in excess is harmful.
I've been through this (not me, but my ex-girlfriend) before and it's also related to these otaku clubs mentioned above. I'll talk about it later, gotta go.
Just my 2 cents.
My best regards.