I'm having a similar issue. Started a month ago where my PC would hang when left idling (hibernate OFF, screen shut off after 20 minutes). Tested the RAM and passed easily. Formatted my PC and still have this issue but since I formatted, 3 weeks ago, my PC shutdown twice by itself.
The Power management is set to Performance, not Normal, still no hibernate. Still freeze from time to time but less often. Never hang/freeze while under load.
I have the Corsair TX750 (the first version) since 2009 so it's hard to put the fault on the PSU...but could be.
I'm tempted to replace my unit and see how it goes. I did a similar check like you did and replaced the power strip but didn't do any good.
Weird troubles...