Would it not just be easier
To present the public with a list of all of Jupiter's or Zeus' lovers or spawn that are not already taken are long enough and end with an e for us to choose from?
I'm guessing that there are possibly 3 left, so some of those rules need bending or breaking.
Moony McNikey Face is my curveball suggestion.
If anyone could send me a pair of air max trainers that wouldnt look too stupid on a 40 something that would be nice