I think the new chapter could easily be Tyrion I or Victarion I, which I believe hadn't been read when GRRM said that there would be a new chapter. My hope is for an Alayne or Sam chapter, though.
I hope there is a Jon POV right away. There has to be some consequences for Bowen Marsh, Wick Wittlestick and any others involved. Will any men loyal to Jon successfully arrest them?
Most of the men loyal to Jon, he sent away to man one castle or another. I imagine that Tormund would want to have Jon's back, but he'd also probably be wary of starting a fight with the Night's Watch that could leave him surrounded by enemies. I'd expect a tense standoff between pro-Jon forces and pro-Marsh forces at least for the first few hundred pages of TWOW.
Sam has a lot of studying to get his links. We may not hear much about him right away. I think we'll hear about Victarion before Euron or Sam.
I don't think that Sam's story is going to focus primarily on him getting his links. First off, he's just been introduced to a small conspiracy of people who are tracking the magical events in the world with great concern, one of whom is a magical assassin under deep cover with an unknown agenda. That seems like it offers greater plot fodder than studying the composition of urine. Second, that would create an odd tonal mismatch. Imagine if you go from a chapter where Tyrion is trying desperately to get the Second Sons to switch sides before the battle at Meereen to a chapter where Sam is trying to get the Citadel to recognize his credits from Highgarden Polytechnic so he doesn't have to retake Alchemy 101.
Edited by Harry the Heir, 05 June 2012 - 03:02 PM.