Well, it could be about Percy exploring the unique Alaskan wilderness. Maybe he discovers some magical creatures that are native to Alaska in this fanfic.
Obviously, Percy is the main character. There could also be some native Alaskan characters, like an Inuit elder who gives Percy some valuable advice or a young Alaskan hunter who becomes Percy's friend.
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.
Since he's used to the water, he could seek out natural hot springs in Alaska. These would be his havens. He could also learn from the native Alaskans about how to dress warmly and make the most of the limited daylight during the winter. He'd have to be careful though, as his powers might react differently in the extreme cold, and he'd need to constantly adjust his fighting and survival techniques.
In an Alaska - based Percy Jackson fanfiction, Percy could be on a quest that leads him to the frozen tundra. He might discover an ancient Greek artifact that has been hidden there for centuries. This artifact could hold the key to preventing a major disaster, like the awakening of an old and powerful enemy. Along the way, he could team up with some local Inuit demigods who have their own unique powers and knowledge of the Alaskan wilderness.
Yes, in some fanfictions, Percy Jackson can be depicted as being born in Alaska. Fanfiction writers often like to play around with the original settings and backstories of characters, and this is one such creative alteration.
One common theme is self - discovery. Percy's journey to Alaska can be seen as a way for him to find out more about himself. Another theme could be adventure, as running to Alaska is no small feat and there are likely many exciting events along the way.
One possible plot could be Percy learning unique survival skills while training in Alaska. Maybe he has to deal with extreme cold, wild animals like bears or wolves. He could also meet local Alaskan characters who teach him their traditional ways of living and hunting, which in turn enhance his own training.
Perhaps in this fanfiction, Percy leaves to Alaska because he has a mysterious connection to the place. He might be on a quest to uncover some long - lost secrets or powers. Along the way, he meets new and interesting characters who either help or hinder his journey.