Hi MrsB
I’m an ex addict myself and I’m sure my wife thinks similar to you but she just trusts me she doesn’t constantly ask me if I’m okay etc so maybe give him the benefit of the doubt and if you just want some reassurance then look in all the places he would usually hide stuff instead and get reassurance from not finding anything.
My addiction wasn’t alcohol but My uncle was an alcoholic for 30 years and we are close enough that I’d know when he had been drinking as I’m sure your husband would have things he does after a drink, my uncle was he talked and talked and talked, so then we’d know he had been drinking so maybe think if there was anything your husband would do when drinking ? The trust tho will just come back in time I’d imagine so just be patient and keep giving your husband support he’s made a massive improvement in his and your life by quitting the drink and it was likely the most hardest thing he’s ever done. By the way my Uncle is now 3 years sober so yes people do change and stay clean no matter then length of time 🙂
Hope this helps in some way and keep us posted even for a chat or a vent
All the best.