I haven't needed to load storage drivers for anything but SCSI or RAID in I don't know how long; most certainly not on Windows 8 or 10!
Lets try something else just to be sure....
Get a copy of Roadkill's Diskwipe ( http://www.roadkil.net/program.php/P14/Disk%20Wipe
) and unzip it on the PC you can connect the SSD to as external. Connect the SSD to the working PC. Run DiskWipe and be freaking careful to select the SSD or you'll wipe your own PC! Just use the "Blank Disk" button to the right and click erase. You only need to let it get the first 1% of the SSD; but, if you want to be really safe (NTFS keeps stuff on the last sector, too), let it finish.
Put the SSD back in the Yoga and try the install, again. It ought to work in UEFI mode, too.
When I get PC's abandoned to me (usually because I setup a new on for them which I helped them buy), I secure wipe the drive and then fill it with zeros. I then run several diagnostics to verify the drive is OK before I mark it as good. If the PC is usable or I need a drive to setup a "refurbished" PC, I'll pull one of those fully tested drives to do the install. I have done this or supervised it's doing, well over 5,000 times (on desktops, laptops, and ultra-portables) and never had a problem.
Since the BIOS sees the drive, something is a little weird, so lets try making sure the drive is really blank.