You've mentioned that you ship Cartercy? Consider Carter/Frank, also known as Frankane. Additonally, Nico/Carter aka Nicarter. And also, do you ship Frank/Nico as well?
Never considered Frankane but why not ? When I imagine a PJO/HOOxTKC crossover I picture Frank bonding with Zia and Carter, so I think they could be cool as more than friends : serious, shy, nice, but strong courageous and ready to sacrifice themselves for their friends. A good combination.
Nicarter, friends, I'm SURE they would be friends they have to be : I want them to talk about magic, ancient gods, and bonding over their family/sister problems. I want Carter to regularly visit Nico in his Underworld and Carter would invite him to his, to meet his parents. So yes I ship, probably one of my favorite crossover's ships.
And for Frico/Franko/Nank, I don't know, I've never been into it. As friends ? Absolutely, I'm totally for it. But as a couple ? I see how you could make them work (lack of self-confidence, caring, family issues, need of affection) but I don't find a lot of interest in this ship. Sorry.
