If there is a benefit to prayer (which I believe there is), and there is no God (which I also believe), then isn't the reality that all prayer is secular?
Perhaps the humility of admitting I don't know all the answers, and the willingness to ask for help is enough to put my mind in a place where recovery is more probable. A place where I can change what I want. I am often surprised to sense my reaction to my own thoughts after I express them in words. This is true whether I post here, write them in a journal, talk with a friend, or even when sincerely expressing myself to no one at all. So yes there is a small part of my recovery that includes prayer.