I'm sorry to say that it will be extremely unlikely to find a criminal defense lawyer to work on a case for free. Why did the judge decline to appoint a public defender to represent your husband? Either you don't financially qualify or the State is not seeking jail time. If your case is in Phoenix City Court the latter reason would be surprising.
Pro bono is short for the Latin pro bono publico which translates "for the public good"
Yours is not a public matter, rather it is a private dispute between you and the governement.
I suggest you reach out to Legal Aid.
Good luck. and I hope this explanation helps.
You should make sure that you reqest an appointed attorney again. If the court decided that you do not qualify then you have to make hard financial decisions. It is very important that you have an attorney assisting you at all stages of your case.