I'm also off dairy products - I'm intolerant to casein
and lactose
Food addiction is often a symptom of food sensitivity, so chances are you are just having "withdrawal symptoms" and turning to high-carb and sugary items... but that's not a good idea, because sugar is also very addictive
I agree with HoneyGlow, increase your protein intake. Eating small, frequent meals and making sure they are well balanced (some protein, some carbs, a little good fat) will keep your blood sugar stable and help you resist the cravings if they still come. Drinking lots of water and concentrating on whole (unprocessed) foods is the best way to go, because those are the best fuel for your body so it will b able to get rid of the yuckies from sugar and dairy.
Good luck!