Debian (see Debian Distribution) seems to be the best and most stable one on the Asus devices. Nevertheless, you can try some other distributions.

You will find appropriate root images on the internet for free download.

(any links will be great!)

will these works?

Create a directory for each distribution and switch to it by using chroot.

This has been tested on a WLHDD due to the large space requirements. It should also work on other devices as long as enough storage space is available over the USB port...

Have fun.