Hmmm I'm really tired or I'd look harder, but after a quick search this is what I found. Avah, Avelina, Aveline, Avelyn, Avlynn. If you want you could just make up a name, that is one way to stay away from popular names, because even if you make up a name and it turns out to be a real name, it's doubtful many will have it. Like it could be something like Avaline or Ariava or Avanna or Avanalee or Avalona.
I know it sounds strange but one name I like alot is Atillian or Atilliandus which I made up, and I like the name Valanna which I made up, though I sometimes spell it Vaulana.
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My Favorite Names:
Girls: Sabriel, Serafina, Augustine, Ravenna, Leona, Iona, Fiona, Quintessa, Arianna, Adelle, Gwenivere, Genevieve, Kathryn, Elanor, Shilia, Namina, Catriona, and Keira
Boys: Keiran, Quintin, Quinlan, Aidan, Kaidan, Killian, Lochlan, Cleon, Xavier, Finley, Mica, and Malachi