Welcome to the forum. I am new here and don't have a lot of advice to give out yet, but I can tell you that in the short time I have been here, I have learned SO MUCH and been given some very powerful support. My only suggestion would be to find something enjoyable to occupy your time with and to take your mind off your wife until such a time as she can come home. Remember, it is good that she is away and getting help and having a cool-down time.
I wish you much luck. Keep reading here, I feel you'll learn a lot about alcoholism and how to deal with it.
I'm sorry you're going through such an awful time and I can tell by your post that you're really hurting. I'll keep you in my thoughts and prayers.