I'm glad you're going to a therapist, but Nwgrits is right. An active alcoholic can not benefit from therapy. I tried that for a year, until I finally saw the light. If it's your insurance, then use it for you. He has left you, without warning, in distress. Yet you want to give him a chance. To do what? Until he is seeking active recovery, you are spinning your wheels.
I am not trying to be harsh. My brother used to take off every holiday, leaving my parents in distress. I still remember the Christmas he disappeared for days. Cell phone dead. They thought he was dead. Christmas Day I held my poor aging father in my arms as he sobbed. My brother was sleeping in his truck behind a grocery store the whole time. The cops finally found him and he came home. And my folks let him back. To this day they refuse to set boundaries, and he continues to cause them grief.
Take care of you. Go to the therapist for you. Find AlAnon for you.