What I have:
What I need:
Note: PowerShell module project in VS2015 would be perfect for me if it had "Postbuild" capabilities. Unfortunately it has not.
I would use a Makefile project (New \ Project \ Templates \ Visual C++ \ General \ Makefile Project). Go to its Properties \ NMake tab and compose "Build Command Line" and other commands, as required. In your case, the build command should copy needed files to the target location. Do not be confused by names "Visual C++" and "NMake". You can use any commands you want.
Finally, in a solution configure project dependencies or build order with this new project included.