“Fixing” a dropped LCD screen

It could be the inverter, backlight, or the LCD panel itself.

Backlight failure is usually hinted at by a pink hue to everything.

Inverter failure usually results in the dimming of images on the screen to the point where the backlight is not even on (the inverter provides power to the backlight)

This sounds more like it is a failure in the LCD panel itself, though it could just as easily be a loose data cable connected to the back of the LCD. If you're feeling adventurous and you laptop is out of warranty, you can take the LCD out of the bezel and reconnect everything, checking for loose cables along the way. It's really not that hard, and what do you have to lose? Either you pay to have it replaced, you fix it yourself, or you break it trying to fix it yourself, but you probably would have to get it replaced anyway.

Is that monitor under warranty? I agree not having a monitor would be inconvenient for the time being, but sending in for warranty repair might be your best option if no one else is experiencing similar issues and has a known fix. From what I have seen, it seems to come down to part of the electronics inside and requires an entire new main board. Monitors tend to have a few modular parts, but most repairs take significant cost due to all-in-one parts used.

Being a 30 inch LCD, I am sure you spent some good $$$ on that. Personally, I would trust the warranty repair the most as they built the monitor and can get all parts for them. Plus, the work they do on the monitor will be warranteed. On top of that, they will normally try and make things right if they cannot figure it out either (replace it).

It sounds like that monitor only has one Dual-Link DVI port, so no other ports to compare against.