Mapping drives based on group membership can be fraught with problems. Confusion reins when my H: is different than your H:

Sooner or later, someone will be a member of two or more groups and their drive mapping conflict. Using alternate drive letters to mitigate the conflict only causes more problems when my H: is your K:. Embedded links may break as well.

You can decomplicate the path with DFS and not use drive letters for everything, relying instead on UNC. You can map a drive letter to a common root (or DFS) entry point and count on NTFS ACL to give access.
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