Irishman,
I'm glad for the positive developments and I hope they continue. A couple things trouble me: a one-year separation seems harsh to me based on one incident of you punching a wall and pushing her away from you, especially if this was the first event of its kind. And you seeing your daughter 3 times a week? For how long, a few minutes at a time, or an hour? Or only as long as your wife feels like it? If it goes that route, get the agreements in writing. If you were a wife-beater or a child-abuser, I could understand the limitations imposed on you. But I think one year is harsh.
As far as an appointed lawyer, is it her lawyer? Was the lawyer appointed from the courts? I can't speak for the quality of your lawyer. It's hard enough to judge when you meet them face to face. That's an issue you will need to decide for yourself based on prayer and how comfortable you feel with the lawyer. I would still consider getting some consultations once you receive the letter you mentioned, where they will know more about your situation. I can't speak for all states, but in some places, court-appointed lawyers are either new or those who may not be the best at what they do. If the lawyer appointed to you has anything to do with your wife's lawyer, unless you feel very comfortable, I suggest you find another one.
Your repentance, confession, humility, and counseling with your wife are good: one year to be away from your daughter and wife still seems harsh. Is your wife vindictive? Does she want to be in charge of everything, including when/if you return home? Does she plan to take money from you and run you through the ringer for a year, and then divorce you anyway? If you have no choice, one year and counseling for both of you is better than divorcing now. I would ask for 6 months.
If, toward the end of the separation your wife still doesn't want to get back together, I recommend you start preparing yourself emotionally, mentally, and financially for a divorce. If it goes that route and she is unwilling to live with you (and if it's not because of your anger issues, even if she claims it is), the Bible says you are to let her go. If an unsaved mate is unwilling to live with us, the Bible says we are not under the bondage of that marriage. I believe that means we are free to remarry. Of course, this is far too early to deal with that (hopefully), but it is something to keep in mind if she decides at any point she doesn't want to be married to you.
Based on your descriptions of your wife, I recommend you don't trust her to do things that are in your best interests, regardless of how pleasant she seems now. She may like the way things are now--she threw you out, she has total control in the home, she's getting money from you, and she's calling all the shots right now. You described her as somewhat controlling. If she is, she may want to keep you under her thumb as long as possible. Her conduct during counseling in the coming months may give you a clue as to her true motivation.
I know you don't want to divorce, but there are situations worse than divorce. In my opinion, living with an angry, controlling spouse is one of them.
I pray things go well with you, but you still must protect yourself legally. Do not depend on your wife's mercy.