I had a 2014 Dell Chromebook 11 I was not doing anything so I decided to turn it into a stand alone Kali box using the Chromium OS Universal Chroot Environment.
The installation steps are pretty simple:
Add a l33t hacker sticker:
Enable Developer Mode (this will wipe the device).
Login and download the latest crouton.
Access the terminal by pressing:
CTL - ALT - T
Run the following commands:
shell
sudo sh -e ~/Downloads/crouton -r sana -t xfce
Go eat lunch (it takes about 30 minutes to pull down the image).
Hack (legally) all the things:
You have a couple of options on how to use Kali on the ChromeBook. The option I will use the most is just the terminal option. You can access it by typing: sudo enter-chroot -n sana
You can also access a full gui by typing: sudo startxfce4 -n sana
Couple of notes:
Kali-Rolling is working on crouton right now due to an abandoned package issue. They are working on it.
The install of Kali is super light weight. The meta-packages will be your friend when building your image.