Regarding your WoW problem, you first need to check and see if your laptop video card has dedicated memory or is simply sharing system memory. Most laptops out there allocate a certain portion of system memory to be used as video memory. You can change the amount of memory used for video in the system BIOS. I'm not sure what the graphical requirements of WoW are, but you could look this up and try bumping up the amount of allocated video memory. The downside of this is that you no longer have as much memory for the rest of the system. ie - if you have 512mb of memory in your computer and you reserve 128mb for video use, you now have only 384mb of memory available for system useage. So if you have a limited amount of memory to begin with, it becomes a balancing act to decide just how much to allocate.
Of course, if you have a video card with its own dedicated memory, all of this goes out the window and you're stuck with however much video memory your laptop came with.
Also, it would help if we knew what model your laptop is and how much system memory it has. It's possible that WoW has issues with certain chipsets.
As far as pressing down on your laptop case and getting the BSOD... Don't! You're obviously shorting something out. If you do that too often, you could find your laptop with a permanent BSOD.