OK. So, here is the report.
First, I was 100% successful in resolving the graphics card issue. The precedure is not without drawbacks and not for the faint of heart however.
This procedure involves running the sysprep tool.
This tool removes all hardware specific info from windows, (as long as you check the "generalize" box) which is what you want. Unfortunately, it is meant for PC manufacturers before shipping, so it can clobber your user account info.
I highly recommend deactivating Photoshop and other software that has limited concurrent installs prior to running this.
(Helps in the last step)
Download latest Catalyst and any other critical drivers (chipset, Ethernet) and place the installers in a safe folder that isn't in a user folder. I recommend "C:\\drivers" in this case.
, (Probably unnecessary, but just to be safe)
Removed catalyst, uninstalled driver, and ran driver sweeper.
Open an administrator command prompt (run as administrator)
Choose the "generalize" box, and OOBE. One user account will be preserved as the new system default. There are some rules as to which account will be preserved, and this can be overridden by creating a configuration file prior to running sysprep. I didn't bother. If you want to, there are a lot of guides out there for using sysprep. If sysprep crashes, see the note below. Even if it still crashes, it may have done enough of it's job for this to work.
After reboot, you will need to re-install a lot of drivers. Basically, anything that Windows does not have a built-in driver for, will need re-installation.
That's pretty much it. My computer now sees the HD6970 as my graphics card.
: IF you find that sysprep is crashing, sometimes killing WMP processes and re-running will fix it. You will probably need to press "Show Processes from All Users" in the Task Manager to kill all the bits of Windows Media Player.