I'd say it should be fine to just change the panel then. You'll need a bit more info on your exact model, but you should be able to source a panel relatively cheaply (around £70-£150) depending on size. Laptop parts companies are OK, they can confirm the screen will work with your model too, or there's always auction sites for potential bargains. Then you need to prise off the fascia and relevant screws, CAREFULLY remove the screen without breaking any data/power cables. They can be quite short, so be really careful. Then just swap over the connections and do what you did to get it apart in reverse.
EDIT: forgot to mention, for the love of all that is holy, please remove the power cord AND battery, or you could have some real trouble. There was a right muppet on here a few weeks ago who left his battery in when changing the gfx I think.