Damn screw....

I need to open my laptop (wanna do it myself, it's way to expensive to have it fixed), but I have ONE DAMN STRIPPED SCREW! And I have NO idea how to remove it. I've searched through the internet, but the only ways I've found are not suitable for a fragile surface (as a laptop) or require expensive items that I can't/don't want to buy. The thing is way deformated. It won't even move a little, and it's tight. To make things worse, the plastic case in which it is in has this small "hole", which avoids me to try and wrap around it with something and try to twist it.

Any cheap, easy and effective way of taking out a stripped screw?

Jam it back in, in the dark.