Where I worked, I wouldn't have removed the mapped drive for this, as it would have to be reinstated. All I did was copy the UNC path to the clipboard and paste it in the path box of the dialog. Sometimes it would prompt me every time, so it could get a bit tedious. Other times it would only take one paste operation and it applied the path value to all tables that were checked off for remapping. In the end, they all had the correct network path.
The more we hear silence, the more we begin to think about our value in this universe.
Paraphrase of Professor Brian Cox.