Here's my two pennies
Hey there,
First I say I'm an AA... that said, I'm not a bible thumper, nor a Big Book thumper.
I am someone who NEEDED to get sober. After having a very similar difficulty, I decided that I had nothing to loose, except "the high cost of low living".
I'm not even going to try to touch the G/d argument. That's a fools errand. I can say that, at first, I just said "God" or "Higher Power" in reference to a better way of life. A generalist paradigm of "good living".
I still flinch on the word prayer, but I do meditate... sometimes, I guess it's prayer, sometimes it's scratching my head saying "WTF?"
Anyway, the important thing is to be sober. So whatever works, just work at it!
Best of luck!