decky, try giving up wheat, barley and rye for three weeks. Oats may be a source of gluten, too. After three weeks eat a yummy sandwich and see how you feel. Yours sounds more like Celiac Disease or gluten intolance than a meat allergy.
The only reliable test is a colon biopsy, but this will give you an idea if gluten is a factor. I don't want to give medical advice, but I have been there, done that and know how much better I feel without gluten.