Hmm a Google search of that stop code, at least the first few results, actually points to peripherals and drivers.
Also the tech asking you to unplug the data cable and leave the power on the SSD was probably asking you to do this so the SSD could perform garbage collection. Assuming you have backups of what is on the SSD, you can do the same thing (and better) in a few minutes by doing a SECURE ERASE on the SSD, then restoring your stuff back on to it:
How to securely erase an SSD drive | How To - CNET
If you do go the PartedMagic way, it also has a diagnostic suite for hard drives and SSDs (GSmartControl) that can scan your drives without a potentially bugged Windows getting in the way.