dami_Scorpio
Set in the same universe as "More than background," but after so, it contains spoilers and references to it.
When Percy, Thessi, and Thea find themselves in ancient Greece, scattered and with no idea how they got there, they try their best to adjust and go from there (aka wing it). It's just their luck that they would find themselves in the middle of a myth in progress. Not that they mind butting in, but they would have preferred not jumping into another war so soon after the last. That and the friendships with ancient greek heroes that seem to form by themselves despite their reservations towards them, after all, it's easier to judge from a distance.
Updates very slowly, check ao3 for faster but more chaotic updates.