Your computer is rather powerful. You would get very reduced functionalities
with the AMD graphics (no 3D acceleration, maybe not the full resolution for
your screen, etc.). On the other hand, Linux-libre (hence Trisquel) perfectly
supports Intel integrated graphics.
The other major issue is the support for Wifi. Nowadays, most cards do not
work without proprietary firmware. You will discover whether yours works by
running the Trisquel Live system (that you can then use to install Trisquel
on the SSD disk). ThinkPenguin and Tehnoetic are the only vendors
guaranteeing that Linux-libre perfectly supports their hardware. You cannot
just go to a store and look at the boxes to find a supported Wifi card
because the relevant piece of information (the chipset) is never written. It
is never written because the manufacturers sometimes change the chipset of a
model. As a consequence, a model that a user reported as "working" with
Linux-libre might not work anymore. Anyway, if the report is recent enough,
it will probably work. Here is in particular a rather cheap (< US$ 20) USB
adapter I bought about one month ago and that was embedding (but probably
still embeds) a chipset Linux-libre supports:
http://www.tp-link.com/en/products/details/?categoryid=243&model=TL-WN722N
In conclusion, you want:
Trisquel GNOME edition;
to use your Intel integrated graphics (one way is to physically remove the
AMD card; there may be a switch in the BIOS/UEFI too);
very probably (although you should first test with the Live system) a
substitution for your Wifi card or a Wifi adapter that you would buy at
http://libre.thinkpenguin.com or at http://tehnoetic.com).
