Ann is my mother's middle name and I love the name Julie or Julia.
I feel as though Julia Ann trips up the mouth. Especially since our last name has 4 syllables and a long A in the first syllable.
But, does Julie Ann, remind you too much of julienne, like in cooking?
Edit: I would also be open to a middle name that begins with "T" as my first name starts with "J" and DH's starts with "T" , but I am not sure there is a viable option, there....