I think
Lila is beautiful and I think it ages well. It's much more grown up than
Lily.
I am personally fond of the Indian pronunciation of
Lila, but it'd probably be difficult to enforce, and I don't like the look of
Leela.
I wrote about my feelings about the H in a post below.
From your list here are some combo ideas:
Lila AugustaLila Catherine Lila Josephine Lila Marianne Lila Matilda