Keep the battery out for now. Leave the battery cover off, and leave the screws, cover, and battery somewhere safe. If you're going to keep it in your sock drawer, put it on top of the socks and leave the drawer open so it can dry out nicely.
If you're feeling adventurous, there should be some screws under the battery cover that you can unscrew, and you can actually remove the circuit board inside. Keep everything where you won't lose it, and don't go further than taking out the circuit board or you risk not being able to put things back together.
If you still need to go further than that (for cleaning the inside of the screen or something like that), go ahead and PM me.
Edit: If it worked once with the battery, there's still hope. Dry it out for a week just to be safe.