Acer C720 is compact and very handy. It is packed with celeron 1.40 GHz processor and 2 Gigs of ram with 32 GB SSD. It has a ~4100mAh battery which should last for 4+ hours with debian without X. I did a quick search and found a way to install debian on to this device. And this wonderful link explains it all. Few adjustments like to enter development mode the article says to press Ctrl+D and after that the user should wait till the system boots and shows the config screen and then press Ctrl+F2(Forward key).
http://blogs.fsfe.org/the_unconventional/2014/04/20/c720-debian/
Thanks a lot for the blog.
This is an additional link for reference
http://www.chromium.org/chromium-os/developer-information-for-chrome-os-devices/acer-c720-chromebook
Some more links like how to configure wifi WPA from cli.
https://wiki.debian.org/WiFi/HowToUse#Command_Line