Is their a way to recover my live account?

So I have a Gamertag for Xbox Live that I've used for six years. Recently i\as I transfered it from the console to a USB it was erased. The problem is that when I set up the Windows Live ID ociated with it, I used a fake email. Now, the pword and secret question escape me. I have filled out their useless survey five times but because the account is invalid and the email is nonexistent they can't help me. Any ideas?