could simply be the ribbon connecting your screen to the computer body is loose/worn or that the screen has just gone?
happened to my old laptop a few months back, turns out the screen just gave up the ghost one day.
got a few quotes, from mediocre (£85) to ridiculous (£225) when the screen i needed was £30 on ebay. turns out it's easier than i initially thought to replace a screen and had it done in 10 minutes, but i had another screen from my girlfriends computer to test what was broke, i had to give her hers back but knew that replacing the screen would work. unless you know for sure what's gone, buying a screen and fitting it yourself may work, it may not. it's like rolling a dice, you might get what outcome you're after, but may not.
Next step is check the switch that turns your computer off when you close your screen or plug into an external screen to check the graphics card
this actually is best option first. my old comp worked fine on HDMI but the screen on the laptop was just black.