I am not as familiar with bitlocker...is this encryption software.
For SQL Server 2005 and up (because they are VSS aware) I remove all maintenance plans and place the database in simple recovery mode (to keep the incremental snap file size smaller).
This quieses the databases which in turn makes the MDB files pristine. On all of the backups I enable the encryption password. I have performed numerous numerous restores, mostly tests, but some based on need of the MDB files, and each time the database has been able to be attached without corruption or any issue.
Hope this helps. Good Luck!
S