Trisquel 7 with the latest kernel from https://jxself.org/linux-libre/
(Jxself's repository for Linux-libre) would work... but if you cannot boot
the install medium (but is it really the case or is the support issue related
to peripherals?), well, I do not know how you would install it!
Like jorda wrote, Parabola GNU/Linux would be the best option. Debian testing
without the "contrib" and the "nonfree" repositories is OK. If you choose
Ubuntu 16.04, you can then disable the "restricted" and "multiverse"
repositories, remove the software that came from "restricted" when you
installed, and get the latest kernel from Jxself's repository.
If you go for ThinkPenguin's hardware and want to support the Trisquel
project, then use this link to make your purchase:
http://libre.thinkpenguin.com
25% of the benefits on your purchase will be donated to the Trisquel project.