It will probably take a long time for you to trust him. You're being perfectly reasonable--I understand where you're coming from. And I'm SO GLAD your dh is okay with this distrust. He has earned this distrust, and it may take a long time for him to earn your trust again. I think he's doing all of the right things--especially since he has a sponsor that he contacts every day.
Does your DH have a copy of the "Big Book"? If so, read the chapter "To the Wives". I think it may be helpful to you.
"Why would you ruin perfectly good peanuts by adding candy corn? That's like saying hey, I have these awesome nachos, guess I better add some dryer lint." - Nonny
"Why would you ruin perfectly good peanuts by adding candy corn? That's like saying hey, I have these awesome nachos, guess I better add some dryer lint." - Nonny