In my opinion Earth or Wind main are better supports for SOSP but if you want to stay with Fire main, here are two teams you can try.

Iruka gives everyone shields and buffs, plus he can interrupt an opposing mystery in round 1 (if the opponent tries to set up). Shisui gives the barrier (Iruka also helps keep Shisui's barrier up, like you can interrupt someone who might try to set up their own barrier) that will give everyone on the team boosts while it's up.

Fire main gives the shields. The mirror return passive helps if someone (like Edo Itachi) tries to use their mystery to stop Iruka or Fire main in round 1. Bani chakra is there so that you'll have enough chakra in round 1 to use SOSP if you want, if you get his mystery cooldown from his standard.

This team only works if you have Danzo's mystery BT at Y+1 (Y+2 is better but you need Y+1 at the minimum) and his Koto barrier passive at Y. The Y+1/Y+2 mystery is to make him act kind of like Edo Itachi - you can cast chaos (lasting 2 rounds) on an opponent in round 1. Having a ninja in pos 2 that can chaos/interrupt/immobile an opponent is just really nice. You need the barrier to be Y so that it will also boost Wind ninja's attack and ninjutsu, that will help Naruto.

Fire main has the same role as before. Ino is there instead of Shisui because having Shisui and Danzo on this same team with their barriers is kind of redundant. Ino's mystery is very similar to Shisui's, plus it does unmissable damage and Ino can reduce her cooldown with her chase. Her cooldown should reduce often since this team triggers her 20-combo chase when Naruto or Ino herself use their mysteries. She also heals and gives a defense/resistance buff after 3 hits. So she has more utility here than Shisui.

Hope one of these teams can work for you!

I don't know, sometimes it just shows up instead of info about a specific stat. Apparently it means "equal" in Polish according to Google translate.

No problem, I like making teams and I hope one of these works for you.

My bad yeah, you're right. When I was looking at the combos on Konoha Proxy I got the icons for the regular chase and the 20 combo chase mixed up in my mind, meant to say she triggers the regular chase to reduce cooldown pretty often. She actually only triggers the 30 combo chase off Naruto's mystery. But the other one is more important.