Ava Maeline
Ava Maeve
Ava Isemae
Ava Maybel(le)
Ava Maylee
Ava Maisie
Ava Maitri

I think Ava Mae is absolutely adorable.
What about having a Chinese middle name to represent her culture?

Amalia, Amaya, Maebelle, Maia, Maida, Maira, Maiya, Amelia, Amey, Annamae, Charmaine, Carmaine, Emelia, Maya, Machelle, Mayra, Tamya, Malin, Mason, Mabyn, Maelys

i think that ava mae is adorable and it doesnt sound old at all ava maire would be cute even tho it doesnt have mae in the beginning

Ava Mae is pretty Mei is chinese means beautiful(same pronunciation as Mae) Or "Mei Li" also means beautiful. Taking Mairead Olivia's suggestions, What about spelling it Maeleigh/Maylee/Maelie? Ava Maeleigh? I'm Chinese btw, so I guess if you want a little chinese culture, I could help a bit. Hannah, Luke and Ava sound like such a great sibset

also:

Ava Gabrielle
Ava Kristen
Ava Julianne
Ava Hope
Ava Danielle
Ava Elizabeth
Ava Katelyn

hope it helps!! GOOD LUCK!!!!

I like Ava Maybelle. My fiance absolutely loves the name Maybelle for a girl. It is so cute. Ava Mae is pretty too...it flows well and it is elegant.

Other suggestions:
Mae-Lee, Maylee, etc.
Mayna
Mabel
Macie
Mayvelle
Esmae
Maegan
Maesha
Maimi
Maekita
Maihina
Mae-Lynn
Mae-Belle
Mae-Ann
Mae-Bree
Mae-Dawn
Mae-Brynn
Mae-Liz
Mae-Noor