One plotline could be Hinata getting kidnapped by the Akatsuki, but instead of harming her, they are intrigued by her unique abilities. So, they keep her around to study her, and in the process, Hinata tries to understand their motives and change their ways.
Well, there could be a plot where the Akatsuki is in search of a certain power that Hinata unknowingly has. They approach her village, and Hinata, being the brave girl she is, decides to face them alone. Instead of a fight, they start to talk. This leads to a series of events where Hinata and the Akatsuki members have to work together to uncover the mystery behind this power. Along the way, they learn from each other, and Hinata shows them that there are other ways to achieve their goals besides destruction and chaos.
A possible plotline is that Hinata is sent on a mission to spy on the Akatsuki. However, she gets caught. But instead of killing her, the Akatsuki see her potential and decide to train her. This creates an interesting dynamic as Hinata has to adapt to their ways while still holding on to her values from the Hidden Leaf Village. This story could explore her growth and the relationships she forms with the Akatsuki members. It would be a story full of action, character development, and moral dilemmas.