Idea #2

-The Shinobi meet the Olympians-

The first part starts during the wave arc and ends at the bikochu arc.

There will be events to build up to Naruto and Hinata's departure to the Percy Jackson world.

Naruto will awaken his demi-god powers during the wave arc and will refine them until they are transported to Percy's world.

Naruto and Hinata will be sucked into a space-time rift during or after Hinata's waterfall dance.

They'll have new abilities in this new world. Hinata will be the daughter of the Shinto deity of the moon, Tsukuyomi, and will have all the powers entailed by this. She'll also be a direct descendent of Poseidon, thus making her Percy's kinda-sorta half-sister with all of the powers that come with it.

Naruto will be the son of Izanagi, a direct descendent of Susanoo, and acolyte of Yami. He'll also have two other patron gods in the form of Shinigami and Raijin due to his Uzumaki heritage.