I’d issue IPMI or remote management commands to reboot the machines. Then I’d boot into either a Linux recovery environment (yes, Linux can unlock BitLocker-encrypted drives) or a WinPE (or Windows RE) and unlock the drives, preferably already loaded on the drives, but could have them PXE boot - just giving ideas here, but ideal DR scenario would have an environment ready to load & PXE would cause delays.
I’d either push a command or script that would then remove the update file that caused the issue & then reboots. Having planned for a scenario like this already, total time to fix would be less than 2 hours.