I like
Julianna spelled
Juliana. But you can't stand that name.
Julia is nice and simple. Also, you already like it alot despite it being overused. It doesn't matter if it is overused if your just going to call her
Jools anyways right? Just curious. I love all three names you listed. For me personally I like
Juliana best. But considering you don't. You might want to go with
Julia since you do like it. Because liking the name is important.