Somewhat older topic but:
I've got the same netbook, only I added Ubuntu (by deleting the D partition, and then booting and installing Ubuntu 11.10 from USB. Ubuntu auto-installs on the empty space and you also automatically get a dualboot screen on startup where you can select what to boot into).
I'm now backing up everything with Clonezilla (which backs-up EVERYTHING instead of just some windows files. Read: I once relied on the Windows backup and couldn't restore a thing. because : It sucks.)
Put Clonezilla live (i468) on USB with Tuxboot (http://clonezilla.org/downloads.php
and I think tuxboot.org)
Boot Asus Eee from USB by pressing ESC when it's starting up.
(For this I first had to disable fastboot and change the boot order in the BIOS -> Press F2 on start up to get into the BIOS disable fastboot there and make the first boot device "removable disk").
After pressing ESC you will get a boot menu where you can select your USB disk.
then you boot into Clonezilla, hit OK on all the defaults except for the the times where it asks you to select a disk (first time it asks you have to select a backup location - eg regular other cheap external USB harddisk - second time it asks is what disk you want to back up, for my Asus there only was 1 disk listed there).
It can take a while to backup depending on how much data you have on the disk, plain Win7 Starter and Ubuntu takes about 1:45h, but if you ever need to restore that image, you will have ALL your data files and settings etc back, just like it was when you backed up.