None that I've heard, especially none that any major outlet is running.
I am kind of scared though. After the announcement from David Gaider that he was no longer working on Dragon Age's writing, and with how poor some elements of Inquisition were (though to be fair to Gaider, not sure if he had a hand in it or not, Tresspasser was on point for the most part) I am scared for the plot and characters of the next Dragon Age.
I hope we don't get locked into a Windows/Darksouls cycle with Dragon Age, where every other game turns out to be a absolute piece of trash (Origins: Best In Series, 2: Oh God Why, Inquisition: Solid Game, 4: ??? vs. XP, VISTA, 7, 8, 10)
Still, we can hope. I confess, I have yet to read books 4 and 5 due to slight bias and fear against a non-Gaider writer. While I recognized some very significant flaws in his writing, it was in most his style and work that brought us Origins, alongside a devoted team. We can see that B team for Bioware writing did a decent job with II (for all it's flaws, it's writing wasn't it's most abhorrent part).
Though speculation at this point would put the scene in Tevinter, fighting Qunari. Past that speculation, there's been as far as anyone knows no confirmation via any social media, or leaks to that matter, from any of the Bioware staff.
As far as EA greenlighting, they will. EA are greedy, greedy wretches and know that 4 will make money. We can only pray they keep their day-1-on-disk DLC and microtransactions away.