The biggest issue with built-in graphics is the lack of dedicated high speed video RAM. Secondarily, they are designed with power management as a priority which cuts performance out of the equation.
The latest generation of Intel video will sort of work, but you have to cut every graphic related option to a minimum and even then it is not going to play smoothly.
Video chips fighting the system memory bus for time (bus contention) just kills the performance.
If you are looking for a decent laptop which can also play AH3 well enough, take a peek at some of the ASUS ROG laptops. I think they finally got away from the red back-lighting for the keyboard.