My apologies for the misinterpretation
Unfortunately you'll need access to your admin panel to activate and run a back up with BackupBuddy.
I'd suggest posting in the WordPress.org Support Forums to see if someone could help out with your issue. Be sure to provide as many details as possible.
It's also worth contacting your host to see if they have a backup, and could possibly help you with a restore.
Good luck!
Gerroald

