You could try a tool like Helium
http://market.android.com/details?id...ikdutta.backup to make a backup of your apps/data so that you don't have to worry about the device being wiped at Asus. I doubt that they would honor such a request; it's probably standard policy to wipe devices to prevent any software issues from presenting as hardware flaws.
The last time I tried to replace an iPod Touch display using hairdryers, etc, it convinced me that either I'm not cut out for that kind of work or it's more cost effective to replace the whole display. YMMV.