perhaps cut off any connection that does not associate with the graphics card and the VGA port, the computer could be unusable when the screen is cutted off, but the screen might work.
if I were you, I would sell the laptop and buy a new screen, or recycle it, there are some pretty rare metals and alloys they use to build the laptop. just disassembling it and the put it in the storage shed to rot is kind of... well, unenviromentaly friendly