I would personally recommend changing the default MC's name to "Hedone" over "Percy", as Hedone was the child of Eros and Psyche (thus fitting the story better) and was the goddess (though I figure a gender-bent, god version would hardly matter) of pleasure.
Allowing Percy to be present within the story without having to heavily rely on him to drive the narrative and also opening more doors to experiment without needing to follow the Percy Jackson story to a tee.
Allowing Percy to be present within the story without having to heavily rely on him to drive the narrative and also opening more doors to experiment without needing to follow the Percy Jackson story to a tee.