Hey there, TrentIsDope.
You won't be able to format the drive your OS is installed on, while you've booted to Windows. One piece of advice just to be on the safe side - you should always go for secure erase with a tool or quick format when it comes to an SSD, never use full format. I'd recommend that you try to boot your computer with the HDDs disconnected, to see if the same thing happens. I know the OS is not on either of them, but if there's a problem with either one, this could cause similar issues.
How were you able to backup the data and run the scans if the computer always freezes, did you connect the SSD to a different computer? It really sounds like there might be an issue with the SSD, or the SATA port, or cables. Try connecting it to a different computer and run an SSD diagnostic tool to test it for errors. If you've already backed up your data, you could try reinstalling Windows with all other drives disconnected during the installation process. You can format the SSD via the Windows installation media (DVD/USB).
Hope that helps. Please let me know how everything goes.
Boogieman_WD