Your situation reminds me of another member a few years back. She was in a similar position with her AH- living separately, she was taking care of everything at home while he "worked at" getting sober. She was monitoring him with Soberlink. That dance went on for a long time. Here's a link to one of her first threads. Reading through her story might be helpful to you.
https://www.soberrecovery.com/forums...alcoholic.html (New here. Married to an alcoholic, and just learned that he's an alcoholic.)