Hinata could use her Byakugan to find weaknesses in Sasuke's defenses. Maybe she spots a chakra - based trap that she can manipulate to create a distraction and then make her escape. She could also use her Gentle Fist techniques in a creative way, like redirecting Sasuke's attacks back at him to create an opening for her to run.
One possible plot twist could be that Sasuke was actually being controlled by an unknown enemy when he kidnapped Hinata. This enemy might be using Sasuke's power to get to Naruto through Hinata. Another twist could be that Hinata has some hidden power or knowledge that Sasuke's side needs, and the kidnapping is a way to extract that from her. Maybe it turns out that Hinata was expecting the kidnapping all along as part of a larger plan to infiltrate Sasuke's group and learn their true intentions.
There's also a possibility that Hinata's own clan, the Hyuga, would take matters into their own hands. They have their own unique techniques and a sense of pride. They would not allow the Akatsuki to keep one of their own captive for long and would send their strongest members to retrieve Hinata.
The kidnapped character could use their own hidden jutsu skills to break free. For example, if they have a teleportation jutsu they've been hiding, they could use it when Sasuke is distracted. Another way is to appeal to Sasuke's emotions. If they can remind him of his better nature or a past event that made him more empathetic, he might let them go.
Their relationship could start off very tentatively. Sasuke, being so used to solitude, might be a bit standoffish. But Hinata's gentle nature could gradually break down his walls. They might start with simple exchanges, like Sasuke noticing Hinata's Byakugan abilities during a battle or training session. This could lead to a mutual respect, and as time goes on, they could become friends and perhaps more depending on how the story progresses.
One possible fanfiction scenario could be that Hinata, Sasuke and Naruto are on a difficult mission together. They start off with some tension due to Sasuke's past actions. However, as the mission progresses, they learn to trust each other more. Hinata might use her gentle nature to ease the situation between Naruto and Sasuke. Naruto's determination and Sasuke's skills combine with Hinata's support to make them a formidable team in this fictional adventure.
In a highschool fanfiction, Sasuke and Hinata's interaction could be really interesting. For example, in a classroom debate, Sasuke's strong opinions might clash with Hinata's more gentle and empathetic views. But this contrast could lead to a deeper understanding between them as they learn from each other's perspectives.
A really interesting one is 'The Unlikely Trio'. This fanfiction imagines a mission where Naruto, Hinata, and Sasuke are forced to work together in a very dangerous and isolated place. They have to rely on each other's strengths and overcome their differences to survive, which makes for a really engaging read.
One idea could be a story where Sasuke, Hinata and Naruto are on a joint mission. Naruto's cheerfulness, Hinata's gentle strength, and Sasuke's brooding nature create an interesting dynamic. They face a powerful enemy and have to learn to combine their unique skills, like Naruto's Rasengan, Hinata's Gentle Fist, and Sasuke's Chidori, to defeat it.
Yes, there are likely some out there. Fanfiction platforms like FanFiction.net or Archive of Our Own might have stories featuring Sasuke and Hinata sharing a kiss. You can search using their names and relevant tags to find such fanfictions.