"Fixing" a dropped LCD screen

I think it is impossible to economically fix that screen. The effect you are seeing is caused by breaking conductors inside the screen. Basically, TFT screens have horizontal and vertical conductors inside for each row and column of pixels (second image on the link). Once the connection is cut, pixels from the breakpoint are uncontrollable. If you press the screen in certain places, you might temporarily restore the function of some pixels, but as soon as pressure is removed, they will go off-line.

You will not be able to repair the screen itself in order to make it "viewable", the best you will be able to do is to replace the screen itself from somewhere like http://www.accupart.co.uk/

You may be able to find a guide on the internet on how to replace your screen or you can send it out for replacement.

You could ssh or remote desktop into it if you had set it up before hand. Otherwise an external monitor is your best bet.

Good news is there are a plethora of good sites now that can walk you through a laptop screen replacement. And the cost of LCD's is not as prohibitively expensive as they once were.