Psychic War is mentioned a few times in Computer Gaming World, but not reviewed it seems.
According to the index search, issues 56, 67 and 72 contain some information.
You can get the
issues here
Alternatively, you may look for the later issues of "Compute!", maybe it's reviewed there, I have only checked some of the early 80's issues.
You could also try and see what's up at Undergroundgamer. Most of it probably doesn't fit the specific profile (late 80s, US based, multiformat or PC-focused), but maybe you're lucky.