Anya is super cute. It seems European to me although I'm not sure of the origin.
I like Anne the most out of your original options, then Anna, then Ana. But I think it could be confusing for your daughter to have your name so I would suggest Anne or Ana (assuming you pronounce it differently from Anna). I like frilly, ultrafeminine names so I prefer Annabel or Anastasia, or something like Anneliese or Annemarie. I also love the idea of using something like Georgiana, Diana, Julianna.