Contact kotaku and the likes, they'll either rip you a new one or sing praises - free PR either way.
Already done, nothing happened. D:
This seems ideal for mainstream coverage. I would pitch it to places like Slate, Ars Technica, The Guardian, etc. You should go with an aggressive angle like, "Finally a game that means something" and "a game that's about more than fun," etc. You might want to approach (im)migrants' rights groups and have them help cross-promote it. Probably drop the "fair and balanced" slogan and just go with saying that this will show the real story of migrants' struggle for a better life and the threats they face along the way "none more deadly than man's own hatred." You could even try to get some endorsements from actual migrants, perhaps enlisting one as a consultant.
I would drop the reference to it being like a point-and-click adventure, and situate it in line with Tell Tale story-games. Regarding the "survival" aspect, when marketing to American press, I would call it "an Oregon Trail for 2016, chronicling the same search for freedom and opportunity in the West as that classic piece of edutainment." "For this group of migrants, disease, winter, and water-crossing poses much the same threat." Say that you hope it teaches a new generation of kids the same way.
Suggest that a viable playing strategy is still buying nothing but bullets.
I think the problem right now is that you're marketing it largely in gameplay terms when you really need to be pushing it in terms of the political debate. As long as you aren't pledging allegiance to either side of the debate, you're not going to get coverage from their mouthpieces. "Icy in a contemporary context, stripped of romanticism on either side" may be a truer (and, to me, more interesting) description, but Icy doesn't mean much to the press, and everyone loves romanticism.
(Incidentally, none of this reflects my own views on the merits of the game or the political debate, just cynical advice on how you could better seize press coverage.)