@Azel quick question, the people of interest section on the info post says both Gaemon Blackfyre and Visenya Redfyre wield Blackfyre, is this a mistake or are they both claiming to have the sword?
As ever, Tywin continues to be a nuisance. According to the info and maps post (not sure if that's up to date yet) Edmure is travelling with Joffrey and some Lannister men, and is calling on his authority as Hand, which seems to bode well for our attempts to get him on our side. My guess that after the skirmish he is no longer travelling with Joffrey (what with Tywin accusing him), and is hoping that dealing with Caern for us will prove his loyalty.
I'm tempted to tell Joffrey to take the Mountain into his custody and bring him back to KL so we can make a show of trying him for the Tullys and Martells, but Tywin would probably find some way of refusing or convincing Joffrey to let him keep the man. It's hard to say what's best with this little information, but I'm leaning towards having him return to KL, and perhaps leaving some troops with Edmure to whom we give the go-ahead.
And finally, still on the theme of vague plans fuelled by too-little information. We need to figure out what's going on with Renly and Stannis. Storm's End is either taken or wholly destroyed, and Stannis is rather close to Renly and Mace, close enough to threaten them in Summerhall. I could see this being quite good or quite bad for us; things look at lot worse for Renly so the Tyrells may be looking to jump ship either to us or to Stannis, so we'll have to make sure we make the better offer. The Reach's religiosity may help here too. What Renly himself chooses to do matters quite a bit as well, of course. I see four main possibilities:
1. He attacks Stannis (either staying independent or doing so gain favor with us)
2. He surrenders to Stannis and not us
3. He retreats to Highgarden with Mace (likely staying independent, but possibly surrendering to us)
4. He surrenders to us and comes to KL
(I'm assuming he won't stay in Summerhall long as it's presumably not very defensible). If he does one of the latter two and tries to get away, he'll probably have to north to get to the Rose Road or Kings Road, or travel west on rough infrastructure for longer until he gets to the Rose Road. Or if he/Mace have rivers boats in the area, they could travel along the Mander river and it's tributaries. It's hearth season so this would be difficult, but he still might go for it.
For now the best we can do is speculate, but this could still possibly turn out in our favor.