River Shoulders is a tad big, no? I get he can shapeshift but why bother? Can't rule him out altogether but I feel if he was going to fight he would have been in his Bigfoot guise. That's how he normally does it.
I can't see Ramirez being on the team. Eb picked the team and he doesn't seem all that close to him. He also would have many older, less brash and vulnerable, and more experienced wizards to choose from. Also, Ramirez has really bought in to the White Council ethos. He's starting to drink the Kool-Aid (although...he might be right according to Jim). So I think he would be very conflicted if not outright sell out the Grey Council. Also, wasn't he arrested by Cristos?
Can't say I agree with the Archive either. Molly felt Vadderung's presence as he was the most powerful being there, I am sure Molly would have mentioned if she felt a similarly powerful being. Not that Ivy is as powerful, but she's well up there. She also would have been a tad short I think around that time, she might have stood out. Not to mention, the Archive is neutral. She quite specifically didn't choose sides between the White Council and the Red Court. I am not even sure she could have participated, considering how much it cost her to give Harry information in that book.
Your last four options (Pinga, Maui, Mama Wata and Sun Wukong) are interesting choices. Why those four in particular, out of interest?
Regrading River, he's large, but in a cloak at a distance while purposefully concealing all of their identities, I think it could be fine.
Regarding Carlos, he's the only one that got away from Cristos, per Chandler. Harry also previously vouched for Carlos, and his Council turn didn't start until after Changes. And he was injured at some point even before the Molly story, and it being in action unseen at CI makes sense.
Regrading Ivy, again, it's a matter of acting in secret, so hiding her identity would be required. And Ivy is neutral for the Accords, but not if the Reds were deemed to be in violation. But her involvement does seem like a stretch, even to me.
Regarding the four unknowns, I just wanted to list some possibilities that could be different than the usual western suspects. Eb seems like the type to collect acquaintances with powerful beings, and those seem like the kind that would help.
There are others I'd like to see as well, but they don't fit as well.