One possible plot could be that Hermione goes to Beauxbatons as part of an exchange program. She might struggle to adapt to the different culture and teaching methods there. For example, the focus on charm and elegance in Beauxbatons might be quite different from Hogwarts' more practical approach. She could also make new friends who introduce her to different kinds of magic that are more common in the Beauxbatons curriculum.
Madame Maxime, the headmistress of Beauxbatons, would surely play an important role. She might be initially skeptical of Hermione but later come to respect her. Also, there could be a young male wizard at Beauxbatons who is intrigued by Hermione's intelligence and Hogwarts - style magic. He could try to learn from her and in the process, they become friends and face challenges together in the school.
In this fanfiction, perhaps Harry is sent to Beauxbatons as part of an exchange program. At Beauxbatons, he might face some challenges due to the different culture and magic styles. He could also get involved in a mystery related to the school's history, for example, an ancient spell hidden in the school that only he can solve with his unique perspective from Hogwarts.
Well, for one, he'd probably have to deal with a whole new set of social dynamics. At Beauxbatons, the girls might be more into fashion and elegance compared to Hogwarts. Harry, as a girl in this scenario, could make some really interesting friends. Maybe she'd be part of a group that focuses on magical dance or some unique Beauxbatons - only magic studies. Also, she might face different challenges in classes, as the teaching styles could be different from what she's used to at Hogwarts.
Well, he might face a whole new set of challenges. The curriculum at Beauxbatons is different from Hogwarts. He could struggle with the language barrier as it's a French school. Also, the social environment would be new. He'd have to make new friends among students who have different cultural backgrounds compared to Hogwarts students.
One possible plot could be Hermione feeling out of place at Hogwarts due to various reasons, like the constant danger she faces or the lack of certain academic opportunities. So she decides to transfer to Beauxbatons. There, she might struggle to adapt to the different culture and magic system. For example, Beauxbatons may have different spells and potions that she has to learn from scratch. Also, she could make new friends and enemies. Maybe there's a group of students who are jealous of her intelligence and try to undermine her.
In a fanfic, Hermione could be invited to a special event at Beauxbatons. She gets to see the beautiful architecture and unique magical practices of the school. There, she meets a Beauxbatons student who becomes her study partner. Together, they explore different ways of magic and Hermione brings some of her Hogwarts knowledge to share, creating a story of cross - school cooperation.
If the fanfic includes romance, then there could be a love interest for Harry. This character could be a fellow student at Beauxbatons. They might start off as friends but then develop deeper feelings for each other as the story progresses. Their relationship could be a central part of the fanfic, with all the typical ups and downs of young love in the wizarding world.
She might have an adventure where she has to compete against Beauxbatons students in a magical tournament. Hermione would use her quick thinking and vast knowledge of magic to hold her own. She could learn some new and elegant spells from the Beauxbatons students during the competition.
Madame Maxime, the headmistress of Beauxbatons, could play an important role. She could be a mentor to Harry, guiding him in his new magical studies at Beauxbatons. She might also be involved in some sort of conflict or mystery that Harry has to help her solve, which could involve the relationship between Beauxbatons and other wizarding schools or some ancient magic within the school.