I would just be blunt with your DH. Sit him down and tell him that you are entering the last few years where you can shape your DD's mind about healthy body image and healthy eating. In this society she is going to know all about calories and restriction and "ideal' body shapes very soon. You don't want her feeling unconfident and critical about herself- as many teens are- and remembering her father telling her about calories. Tell him to talk about foods that build shiny hair, give high energy, make a brain that works well, muscles that help her do what she wants. If he really opposes snacks that are heavy and treat like, keep them out of the house and produce them only when it's ok by everyone for her to have one.
DD1 9 yrs old 12/2011
DD2 7 yrs old 01/2014