Arianna Anne last name------?
Arianna Ann last name -------- ?
Arianna 中文 last name-----? You can't do it !
I don't see it. It is repeating and makes no sense.
You need to give out more specific requirement, that makes it easier to uncover the best match for your daughter.
There's no rule for the middle name but you know better that normally it can be meaningful to family history or honoring someone special in your life.
Maybe just use you maiden name? Nowadays, Chang/ Lin/Lee .... the majority of westerners can pronounce it precisely and it is also very obvious Chinese related, however may not meet your requirement as it is not a " name- name " that we normally consider a 名字. Because it is a sur name in Chinese culture.
Let's say, if your maiden name is " Lin " maybe " Lynn" is a good one. You get the sounds and also a real " name" ...
Eiher way, if you take 雅麗,for example, it will be:
Adrianne Yali last name... This one makes sense.
If you want a middle name follows the sound of the first name, then 青蛙老木 provide a not bad suggestion. And you get a Chinese name 雅麗。
I hope this analysis helps. Looking forward to your final decision. If you don't mind to share it out with us after you make your decision with your husband.
Best of luck!