I like
Annabeth. I enjoy less-expected -beth names. I can see how it hasn't charted, despite its charms. There is something inherantly childish about it as a name. It's perpetually a little girl.
Beth seems to have that effect on names, for me. It's so soft and tender, I can't possibly imagine it in court or the board room or the steelworks. Beths write poetry and lie in fields of wildflowers and look at clouds.
I think it could age gracefully though; especially if an adult
Annabeth decided to go by
Anna.