I don't think I would involve your H in the DB coaching just yet, but that's just my opinion. I'd continue monitoring results and ask your coach for his/her opinion about involving your H during the following session.
That's great that your H is more involved with your D now! I know that it stinks that he's doing so under these circumstances, but it's nice to see him making positive changes as well. Is there a way you can let him know that you see these changes and how happy they make you, without talking about your R or bringing up touchy subjects?
Me: 35, H: 37, no kids Together since 2002, Married since 2007 IDKIILY: 2/2013 MC: 5/2013-6/2014 H stated he was REALLY done: 4/2014 I moved out 7/6/14 H filed end of 8/2014 but still hasn't served me