@Chickenluver106 Don't give up! It aint over til its over :)
Getting it off the wire seems right, and putting it in a cup makes sense anything like an egg in size and shape. Also the damp toweling, but I think that if the paper towel dries out then it might stick. Maybe a damp sponge?
I hope that you have a tough chick and that you post some good news soon.