Ok bro, let me help you with a good team, you won't need any new summons, it's also a very strong and consistent team with what you currently have.

Sasori Akatsuki Creation - With the updates he received, he has become extremely good, when without the puppet he can easily reset his mystery, his basic attack has become unavoidable and with guaranteed poison. And the damage is very well, your Mystery can hit paralysis in area and interrupt, in addition to healing every turn and decreasing the crit chance of whoever hits the puppet.

Itachi edo - Strong CC, can protect from debuffs, avoid chases, start combos, can make sasori stack with shizune passive,(wish flood dragon or shark) make your team stack wish shizune passive.

Shizune Fairy -good healer, has an inescapable attack, chase for hits, can heal more than once per turn, and has a great passive to help your team stack ninjutsu and attack.

Scarlet Blaze - I put him to protect the team and buff sasori's damage with his passive, at the same time it also decreases enemy ninjutsu, and causes sleep in the basic attack to help with control, but this can be changed according to your will.

PS, this team doesn't depend on any high level summons, that the combos I left are all per hit, but when itachi hits there's still a combo with sasori to make him scale damage.