I'm not very familiar with FileVault, but does it not provide a recovery key when you set it up? (for writing down and stashing in a safe place or backing up to the cloud)
Every other FDE scheme I've ever seen does, accompanied by big scary "WRITE THIS DOWN. IF YOU LOSE IT, AND THEN YOUR DISK GETS CORRUPTED, YOUR DATA IS GONE FOREVER" warnings, and with good reason: yeah, if the master key sector is corrupted and you don't have a backup, you're screwed.