Stop by the apple store, they have replaced the screen on my wife's old 3GS a few years ago for free and it wasn't under an extended warranty. She dropped it at the pool and the screen had a nasty crack.
She originally stopped by the one in Stonebriar, they turned her down. I went to Willow Bend the following day and they did it free of charge, told me that apple gives them ability to do this, just up to the person you deal with.
Worst they can say is no...you might be pleasantly surprised.