Are they going east? Maybe.
I bet they run into Jorah, who is now a free agent.
It's not my favorite arc in the series at this point.
I don't think she's smart enough to just create a system off the cuff. She's an idealist, she focused on the way things SHOULD be versus being pragmatic about what CAN be done to make a flawed system better. Maybe she'll get better on that, the more she is challenged.
It will definitely be more interesting, to see how she fares without Jorah Mormont, as he was her tether to reason. She must also learn how to "tame" her dragons. I have a feeling that one of the dragons, the wayward one, will be key in the story. He (it?) will be a wildcard.
I think my boredom was due to the same thing you mentioned. There has been no challenge for Danaerys so far, as she "got" everything she has aimed to get, so far. So it was a bit predictable to watch. Now that she is seeing that things are not all that easy, clear-cut, right/wrong, and feeling the impact of the grays, along with not having Jorah by her side, hopefully things get more interesting for her arc.
Yeah, I don't even get what Davos is still there. That guy deserves a better king.
Davos is so loyal to the dudley idiot, Stannis. Melisandra (sp?) is playing Stannis like a fool, and Davos is hoping that he can be the voice of reason. Melisandra is looking for someone, leading them to the North as she has. And the glance she and Jon Snow exchanged, it looks like she found who she was truly looking for. Although she keeps stroking, erm...Stannis' ego....by calling him the king, the "one". Davos will hopefully become a key player, when Melisandra starts to really unravel her plan. Stannis is expendable to Melisandra, in the long run, I think, and Davos will foil that plan for her. Also, that little girl (Stannis' daughter) and Davos.