Matt
That's great you have feeling for your ex. After reading your post I'm thinking Chill. Hopes are great but reality also should be included. Some stay sober after their 1st rehab, most do not.
The tone I'm reading is of desperation and if that doesn't pan out then your world might as well not exist. I get what your are staying but can you walk without trying to fix another? Can you take care of yourself and your daughter?
What would it be like if she walked along side you in her time? She builds up the ability to walk and deal with life and becomes strong enough to endure life without alcohol. OR do you need something to rescue? People sobering up need to find their way as you aren't going to be perfect and hold their hands like a parent to a child.
Please check out some Alanon meetings and ask questions. If you want to help your wife, it's possible that your current ideas may hinder her sobriety.