Yep bummer for you, but for me I have written 800 lines of new code, fixed some buggy code and answered 30 other general problems via email while looking at this particular issue. They call him “Mega Multi-Tasker”. ha ha ha.
Since this worked to get the site back up – “For a fraction of a second, the site comes back up when I put the backup in the root directory, but then it’s moved and the site goes rightback down.” – then logically if you copy the htaccess file to: /wp-content/bps-backup/autorestore/root-files/ and then rename it to auto_.htaccess and then also copy the .htaccess file to the website root folder then that should work.