While you can create a package or application that copies config files out to
your clients after an install, there may be times when it's easier to just use
a PowerShell script to copy configuration files to your client machines.
This was true in our case where we had to copy files from different source
directories depending on the name of the computer. In our case, we had
to copy a different configuration file to C:\Program Files (x86)\application\
depending on which site that computer was at. Our computers have a four
digit site identifier at the beginning so we leveraged this in order to do the
file copy.
You can modify the script to accommodate your computer name scheme.