Based on your description it seems that the graphics controller seems to be working fine since the FPS are normal and game play is fine as you mentioned.
We have a game compatibility list that you can check here:
It shows the tested games but if a game is missing can be because it has not been tested yet or it is not compatible with the controller.
Since you have tested at this point our generic driver, my best recommendation is either contact the computer manufacturer to get the custom drivers from them or contacting the game manufacturer for a patch or update on this game.
Unfortunately in reply from support from Treyarch/Activision, they only said that the Intel HD Graphics 4000 is not supported and will not receive a patch. "Your GPU is not supported."
And unfortunately ASUS has not released any other custom drivers for my model of laptop. The latest is from October 2012. Hence why I'm using the latest Generic Driver.