Gotta agree with both Dark Times (tied with Legacy as my favourite series) and 1313 (so looking forward to this).
I've actually been catching up on the Clone Wars animated series (yeah, I know…), as I still hadn't finished season 2, and there were a few surprisingly good (and suitable for Edge of the Empire inspiration!) episodes. One or two focussed on bounty hunters, and even one that focussed on the underworld of Coruscant that I swear had bits from the 1313 trailer in it! Sure it's kind of childish and there are lots of Jedi peppered around, but the above bits were good for a more gritty/non-Jedi focussed game.
Also been reading the Empire series of comics and although that focuses more on what is probably suitable for book 2 of the FFG series (Rebellion vs Empire), it's set during the right period - right around the destruction of the first Death Star.
Finally, there are a lot of old WEG books that focus on smugglers and the outer rim that I've been browsing for inspiration. Tramp Freighters, the Platts guides, Guide to Mos Eisley, etc.