I think the Inuzuka Clan's chasing their tails. Or squirrels.
I vote Iruka/Tsunami.
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If they keep a low profile, it should be harder for the Hyuuga clan to spot them. Of course, Neji needs to avoid any Main House Hyuuga like the plague, due to his CBS. But once word does reach them of Byakugan using clan(s) in Wave, they'll probably start scouring the country with branch hyuuga using the byakugan to locate and eliminate "rogue clan members." And depending who's running Konoha at the time, they might get official support in the mission. If they're brute forcing things, a Hyuuga/Inuzuka/Yamanaka/Nara team would work well in hunting down and eliminating Byakugan users. Also, Konoha could have people request fake missions to ambush and wipe out Shio ninja teams.
So the game to play is politics. Get mutual defense treaties, trade treaties, or the like with, say, Kiri or Kumo (and Suna). Or better yet, have Wave form trade agreements with Fire and use the daimyo to keep Konoha in line. Until Shio establishes itself strong enough to withstand attempts like that, they have to play the political game rather than military.
As a bonus, Shio can embarrass Konoha by catching the teams and sending them back to Konoha via another village or country where it's quite public that Konoha's running extermination missions in foreign territory against another country's citizens. Maybe also reveal the truth behind the Uchiha Massacre; after all, they're okay with wiping out their own clans, so why should anyone be surprised they have no issue trying to do the same to a non-hostile country's clans? Doing such a thing tarnishes Konoha's "nice guy" image that it pushes (should that image still exist by that point), which may hurt income from missions. This works especially well if Wave can bring economic pressure against Fire's daimyo over the incidents and have
him smack down Konoha. The village may need a reminder of just how badly an unhappy daimyo can ruin a hidden village (hello, Suna!), which'll force the village to choose between funding and continuing to attack another country's citizens.