Do you plan on having more children? If you chose a 3rd E name, then you are definitely boxed into E names for the rest, it seems to me. Choosing a non-E name frees you up for future children. Even if this 3rd one is the last, I think a non-E name would be a good choice. You mentioned Tali. Others suggested Talia, and that flows nicely with the others. Ivy is beautiful, and it's short and simple like the other two. Plus it also starts with a vowel, too. Perhaps your husband will come around...??? Good luck!
Ps. I really love Eden and Ezra. They are wonderful names. I like your taste.
i know an Emunah nn Emmy. You could also have Emmy be short for the initials ME. Other Hebrew names that might work -
Meital (nn Tali)
Temima (i love it w/ the nn Temi, unfortunately DH does not)
Livia/Levia (nn Livy)
Atara (nn Ari?)
Oria/Orly/Liora (if you like Mimi, would you go for Lili?)
I like the suggestion of Emilia (nn Emmy)--so cute! Of course, you could use Emmy on its own and that would be adorable as well! Here are some others I thought of:
Timnah (a Biblical place name)
Anna (simple, but so sweet!)
Abigail (nn Abby... Or you could use it on its own!)
Noa was my first thought, too bad your husband doesn't like it! Tali is a great one too...I love so many Tal- names...Tallulah, Talitha, Talia, Tali by itself, even just plain Tal (m/f).
Here's a list I made of unique botanical girls' names (not obvious ones like Rose or Lily): http://nameberry.com/userlist/view/33720
From your list I like: Ivy, Maya, Aliya and Emilia (shortened to Emmy)
Names that start with E:
Evette (or alternative spelling Yvette)
Best Wishes x