In the fanfiction, they could have a mentor - mentee relationship. Naruto, with his big heart and positive attitude, could be the one to show Sasori a different way of looking at things, like a mentor. Or Sasori could teach Naruto some of his puppet - related skills, acting as a mentor in that aspect.
In the 'naruto is like sasori fanfiction', they might share a sense of being outsiders. Naruto was an outcast as a child because of the Nine - Tailed Fox inside him. Sasori was also kind of an outlier in the Sand Village. In the fanfic, their personalities could be molded to show how they both deal with this outsider status, perhaps with Naruto's more positive outlook influencing Sasori in some way.
In a fanfiction, Deidara and Sasori could be sent on a secret mission to infiltrate a hidden village. Deidara uses his clay creations to distract the guards while Sasori sneaks in with his puppets. As they progress, they discover a powerful weapon that the village is developing. They then have to decide whether to destroy it or take it for the Akatsuki. Along the way, they also have to deal with their own internal conflicts and the pressure of the mission.
They could be on a journey to find a rare material for Deidara's art. Sasori, with his knowledge of the ninja world, helps guide them. Along the way, they encounter various strange creatures and ninja clans. They might have to fight off some who are after the same material.
One possible plot could be that Naruto, for some reason, decides to adopt Sasori's more calculating and detached approach to combat. He might start using puppets or puppet - like techniques in battles, much like Sasori did. Maybe he's on a mission where he has to infiltrate an enemy base and he thinks acting like Sasori would be the best way to succeed.
I'm not sure of specific 'naruto acts like sasori' fanfictions off - hand. But you can try searching on fanfiction websites like Archive of Our Own or FanFiction.net. Just type in the keywords and browse through the results. There might be some really interesting stories out there where Naruto takes on characteristics or behaviors similar to Sasori.
The story could also explore how Naruto's relationship with other characters in the Naruto universe would be affected. His friends like Sakura and Kakashi might be initially suspicious of Sasori's influence on Naruto. But as Naruto shows that he still holds onto his core values, they might come to accept this new situation. And Naruto's enemies would likely be more cautious, seeing that he has new abilities and a different kind of mentorship under Sasori.
A possible plot could involve Sasori taking Naruto as an apprentice to make up for his past mistakes. He could see potential in Naruto to use his puppet - making knowledge for good. And Naruto, being the eager learner he is, would soak up all the knowledge, and eventually use it to defend the Hidden Leaf against new threats.
The plot might involve Naruto having to deal with the stigma of being the'son' of Sasori. He could struggle to find his place in the ninja world while also having to face the enemies that Sasori made in his past. And he might use the skills he learned from Sasori in unexpected ways to protect his friends and the village.