also note that the sins does not require impulse to run, unlike steam which requires its client to be in the backgroup to play any of its games.
the sins program files are located here...
C:\Program Files\Stardock Games\Sins of a Solar Empire
you can also use the archive feature which i am not as familiar with. somehow its process creates a *.impulse file that can then be moved and restored via impulse. if you go this route, follow kitkun's info above. get a copy of the impulse installer and include it on any Archive disk you create containing the .impulse files.