So, the only strategies I can think of are run and hope for the best, use large-seal from Kagome/imbue a seal (and probably kill our teammates), run hugely improbable deception gambit, or charge and die. We don't have ranged abilities, we will lose in Taijutsu against three people. The only good news I can think of is that it seems likely that they are just genin, and that we could probably defeat any single one of them in single combat (our taijutsu is higher than when we had a 10/15 victory rate, but presumably duels are not quite actual battles). We'd need some kinda crazy luck and great plan to have that happen though.
Also, it's unclear to me if these ninja are from the Liberators or from somewhere else (it's entirely possible this is how Yujin wants to collect his field agents). If they're Liberators, maybe we could find Yujin and mount a rescue mission (though he'd probably just cut weight and let them die), if they're with Yujin, hopefully we aren't in too much danger (non-lethal methods are consistent with both of these possibilities).
Edit: reread - pretty clear they're from Liberators (they mention going back to the fortress)
Edit 2: now I'm unclear. Who would be on the infiltrator list if these are Liberator ninja? This doesn't make sense.
It might be helpful to think of ways we were found. It also might not. We're kinda dead. Maybe if we can rescue Noburi and Keiko, then come up with a combo which frees Inoue we won't die, but that's about it. They can almost certainly find us if we run, we can't beat them in combat.
Fortunately, given our role in the village, we should have fought these ninja before, so should hopefully have some idea what they're capable of. (and maybe get bonus dice if some form of SAoF is taken)
And yeah, I definitely don't like that we took Akane with us. We basically told the village we were leaving, so they knew what was up, probably sped up their finding us by about 2-3 hours (though people were getting suspicious about Ko, so meh). If we'd just left her she'd be sad we left, but probs not dead like she's likely to become now. We both hurt our own chances and put her in an even worse position. That said, we can now count on a youthful contributor to battle if we attack now, which is something, though almost certainly not enough. Regardless, they surprised us because Inoue was interrogating her instead of watching. She's a large part of why this mess is so bad.