What antivirus do you run? Try downloading and installing the free version of Malwarebytes : Free anti-malware, anti-virus and spyware removal download
and running the full scan. This should give you the option to get rid of the facemoods.
Find the full path to the registry entry given by ccleaner, start in safe mode, go into regedit, and delete that point yourself. Warning: You may not be able to delete it while Windows is running because doing so may cause your system not to run properly. Make sure you make a backup of that registry key before deleting it.
Try installing the game from its source (DVD, internet download, etc.) and then uninstall it.