He could have adventures with the local wildlife. Maybe he has a close encounter with a moose or a bear. Or he could be exploring the vast, icy landscapes and discover some hidden caves filled with ancient artifacts.
In the fanfiction, living in the sea could give Percy a chance to explore the secrets of his water - related powers more deeply. He could learn to control the tides in a more precise way or communicate with the very essence of the ocean. He might also face challenges such as dealing with underwater magic that is different from what he's used to on land. There could be ancient sea spells that he has to decipher in order to save the sea from a dark force.
Percy could discover ancient and forgotten temples or shrines in the wild. These could hold powerful artifacts or be the lairs of minor gods or spirits. He might have to face various traps and puzzles to explore them fully. In the process, he would rely on his skills as a demigod, like his ability to control water, to overcome obstacles and uncover secrets. This would be an exciting addition to the fanfiction as it would add new elements to the Percy Jackson universe.
Well, he might encounter rare and dangerous beasts. Maybe he discovers a hidden power source or an ancient artifact. He could also meet some reclusive and powerful shinobi who have made the forest their home.
He might have battles with strange creatures. In fanfiction, the Forest of Death is full of unknown threats. Naruto could discover new jutsus while trying to survive there.
They could have an adventure in an enchanted forest. Maybe they get lost and have to use Percy's skills with water to find a way out, like creating a stream that leads them to safety while Piper uses her charm - speaking to communicate with the forest animals for directions.
In the fanfiction, Naruto could have adventures like finding a secret waterfall in the forest that has special chakra - enhancing properties. He might have to fight off bandits who are trying to take over the forest for their own evil purposes. And he could also meet a hermit who teaches him some new jutsu that are specific to the forest environment.
Well, they could have had an adventure where they had to team up against a powerful new monster. Maybe a giant that was immune to normal weapons and they had to use their combined powers - Percy's water control and Apollo's archery and healing skills - to defeat it.
He could have adventures with local mythological creatures. Alaska has a rich Native American mythology, and Percy might encounter spirits like the Raven or the Bear. Maybe he'd find a hidden tribe that has been protected by a local water spirit, and he has to help them deal with some threat to their water source.
They could have all sorts of adventures. Maybe they'd get sorted into different houses and have to deal with the rivalries that come with that. Percy might use his water - controlling abilities in the Hogwarts' lake, and Thalia could use her lightning powers during a stormy Quidditch match. Nico could explore the Hogwarts' underground secrets, using his underworld - related skills to uncover hidden chambers.
Agent 13 could have adventures in far - off lands. They might be on a quest to retrieve a valuable artifact that has the power to change the world. This could involve sneaking into ancient temples filled with traps.