Ok, the GPU drivers have been properly installed, no doubt about that

But what about the... user name>my docs>my games>
Skyrim? < This folder (underline), under properties, is
read only? If yes, chance that, please.
I don't know, probably is only a minor error introduced by the last patch, I made a quick google search, I saw no know solution, beyond the fact to delete d3d9.dll if you have it.
I dare to say to forget about the stupid launcher and her strange behavior missing your GPU, and HOPEFULLY with no effect on gameplay... However, you have freezes, and is impossible to know if they result from the wrongly detection of the GPU or not. Like I said before, is likely, but ...

If I was you, I would still do these steps, by order:
1. DirectX reinstall (yep, even if your PC correctly detects the GPU, is possible that you may have a missing .dll that is preventing Skyrim launcher -or other game launcher- to detect your GPU correctly)
2.
BACKUP ALL my savegames > Delete all the folder I mentioned earlier > Verify Game Cache Integrity (Steam) again
3. Make sure CCC don't "force" their own settings, but instead that, make sure that the game can freely make their own (Sorry for the English, is not my native language, not even the second, but I think you will understand this step, hopefully...)
4. Forget about the sugestion from Skyrim Launcher, choose the default valours in Skyrim settings that you know your GPU can handle, and THEN play the freaking game and pray for no more freezes.

Sorry for not being better help. Best of luck. Cheers.