I prefer
Anna, but would still find meeting a little
Anne so adorable and refreshing.
If I had to use
Anne, I would pair it with something unexpected but still traditional in the middle...
Anne Lydia,
Anne Christabel,
Anne Eliza,
Anne Eloise,
Anne Imogene,
Anne Clementine.... something like that.
Anne Margaret is too much (exactly like) like the actress. I love
Anne Beatrix.