Just reading real quick, I would say that heat is what killed you here.
Just a quick question, though, is it only the game, or have you noticed other things on the laptop slowing down? (slower load, dimmer graphics, etc.) If so, then, yeah, kinda screwed. Laptops are horribly expensive to repair compared to desktops. Their intergrated grapics and limited cooling ability are what make them very poor choices for gaming, especially on high end (or poorly optimized) graphic intensive games. (Btw, I did read somewhere that if FFXIV had been very successful, then it might have been used to rate new graphics cards, just a side note)
Chances are, though, however, that you have overheated a part of the board near the graphics. This could also explain why you are having sluggish response from the other areas (i.e typing, movement, etc.)
Again, just my 0.02....
5040 X 1050 with Matrox Triple Head 2 Go
480 in SLI
I-7 950 OC 3.68 Ghz, 12 GB DDR3 1600