If your Google account is suspended, then deletion of the contents after a set number of days is required by various laws and legal precidents for your own privacy. Google cannot hold your private data on an ongoing basis without letting you access it. Your only chance will be getting the account unsuspended before the timer runs out.
Has anyone mentioned this to Facebook? I think they hold quite a lot of information about me, and because I don't have an account, I presumably can't access it.