You can override the default Application Data directory by running Toad with the following command switch:
Toad.exe -datadir="YourDataDirPath"
For example in Toad for Data Analyst:
"C:\Program Files\Quest Software\Toad for Data Analysts 2.7\Toad.exe" -datadir="\\server_name\AlternativeFolder\datadir"
For example In Toad Data Point:
"C:\Program Files (x86)\Dell\Toad Data Point 4.0\toad.exe" -datadir="\\server_name\AlternativeFolder\datadir"
This is amended in the Target field of the Toad for Data Analysts (TDA) or Toad Data Point (TDP) desktop shortcut.
Every time you run TDA / TDP from this shortcut, the Application Data directory will be remapped to the specified location.
It is necessary to have this parameter mentioned also in a scheduled task. Otherwise, there can be a problem with the running of the task.