As one who is recently afflicted with allergies relating to foods,
you really should get a skin test for food items from your doctor/allergist/immunologist. You could possibly be having a reaction to wheat or gluten. I'd wear non-powdered latex gloves when you work with the dough for a while (as long as you don't have a latex allergy).
I get a reaction to raw hard shell squash, get an instant rash from many plants and trees, and oral reactions to certain foods. Today I confirmed raw cucumbers are on the naughty list.