I currently don't have a suitable setup to try this but if this free space is immediately after a good (healthy) partition can you click on that good partition in disk management and see 'extend this partition'
Looks as if this could be what you need but note the caveats in the below.
extend
Extends the volume with focus into next contiguous unallocated space. For basic volumes, the unallocated space must be on the same disk as, and must follow (be of higher sector offset than) the partition with focus. A dynamic simple or spanned volume can be extended to any empty space on any dynamic disk. Using this command, you can extend an existing volume into newly created space.
If the partition was previously formatted with the NTFS file system, the file system is automatically extended to occupy the larger partition. No data loss occurs. If the partition was previously formatted with any file system format other than NTFS, the command fails with no change to the partition.