We are doing primal here with many food sensitivities. We actually aren't eating beef, nuts, seeds, and eggs only once per week. It is more challenging, but doable once you get down a list of meals that work for you. You may find that this diet can help you heal from your sensitivities especially if you include some other gut healing measures such as eating lots of bone broth and gelatin , food based a/o supp probiotics, improving stomach acid, and getting adequate vitamin d and zinc.
Adding minerals wherever I can.