I personally wouldn't worry about consuming all the meat and non-starchy veggies you want. The dairy, otoh, if you are over doing it (or intolerant--which I am) could be a major cause of problems. Have you tried cutting back on dairy (or cutting it out totally) and then eating mostly meat and veg? Just a hunch, but I'd guess its not the protein/meat and non-starchy veg that are the issue. How do you know you are eating 'too much'? Weight gain?
Just a thought! I hope you find the help you need! Personally, eating lots of meat and nonstarchy veg makes me feel better than anything else. I also use coconut milk in place of dairy in many dishes, and I loooooove it.
Just my .02--hth!!