My AH, also an athiest, had expressed a desire to get sober. I told him I'd seen several books on Rational Recovery and asked if he was interested. He enthusiastically said yes, and he devoured them cover to cover.
The Rational Recovery option is kind of neat and I could see it as being a "Quacking Test".
I don't like AA etc. is too often a cover for: "I don't want to quit but I am too chicken to tell you that to your face so I will find fault with AA".
Having a method which is almost opposite to AA leaves no room for quacking: "The truth shall be revealed"
In the case of your husband, he obviously is interested in getting better this is why he is reading those avidly as opposed to my friend who never even bothered with either the BB or the RR book.