Well, perhaps Percy goes to Beacon Hills to find a lost artifact that has ties to both his world and the world of Beacon Hills. He has to navigate the complex social dynamics of the town, including the werewolf pack and other supernaturals. He could also introduce some new magic or abilities that the residents of Beacon Hills have never seen before, which could either help or hinder their ongoing battles against the forces of evil in the town.
One idea could be Percy arriving in Beacon Hills and being mistaken for a new supernatural threat. The local pack tries to figure out his powers and intentions. Another could be Percy teaming up with the pack to fight a common enemy that is drawn to the unique energy of Beacon Hills and Percy's own demigod powers. Maybe he also has to adjust to the high school life there while hiding his true identity from most of the students.
Well, he might get involved in the supernatural chaos of Beacon Hills. Maybe he'd team up with the local werewolves or other supernatural beings to fight against a common enemy. He could use his demigod powers in unique ways, like using his water control against a fire - based threat in Beacon Hills.
The Nogitsune could also be a great antagonist. It thrives on chaos and mischief. Percy's presence and his powers would be something the Nogitsune would want to either corrupt or use for its own evil purposes. It could try to possess Percy or those around him to gain access to his demigod abilities.
There's also a chance that he'd meet Lydia first. Lydia has her banshee powers, and she might be drawn to Percy because of his otherworldly presence. She could sense something about him that's not of this world, and approach him out of curiosity. Their meeting could be a very intense and mysterious one, with Lydia trying to figure out what exactly Percy is.
One idea could be Percy using his unique skills to solve a mystery at school, like a series of strange disappearances in the school basement. Another could be Percy facing a bully who turns out to be a monster in disguise. Or perhaps Percy starting a club at school to teach other students about ancient Greek mythology.
One idea could be Percy getting involved in the vampire - human drama in Forks. Maybe he discovers the secret of the Cullens and tries to find a way to co - exist with them, given his own experiences with different species in his own world.
One possible plot idea could be Percy encountering unique Alaskan mythical creatures that are different from what he's used to in other places. Maybe he discovers a tribe with a special connection to the gods that he has to help protect.
If Harry Potter goes to Beacon Hills, he'd probably be quite confused at first. The rules of the supernatural world there are different from the wizarding world. But then, he would start to adapt. Maybe he'd team up with Scott McCall. Harry's experience in fighting Voldemort would give him the courage and skills to face the threats in Beacon Hills, like the Dread Doctors or the Nogitsune.
One idea could be Percy trying to hide his demigod powers from his high school classmates while still using them to solve normal high school problems like bullying. Another could be Percy forming a secret club in school for other kids with special abilities. Or maybe Percy getting into a friendly rivalry with the school's star athlete in a non - combat - related sport like track and field.
One possible plotline could be Bella adjusting to the supernatural elements in Beacon Hills. Maybe she discovers the existence of werewolves and other creatures and has to learn to co - exist. Another could be her forming new friendships or even romances with the local characters.
The plot could involve Hermione using her magical skills in the world of Beacon Hills. Maybe she helps the pack with some supernatural threats using spells and potions. For example, she could create a protection spell around the town to keep out certain dangerous creatures.