Solution
1. Run either LabVIEW or TestStand as an administrator. This should give LabVIEW the proper permissions to access the mapped drive, see additional notes for more details.
2. If that does not work, please follow the following
Microsoft knowledge base article. This article shows you how to change the Microsoft UAC settings in the registry to allow LabVIEW to access mapped network drives. Make sure to save a copy of your registry before making any changes.