Hi, my son is allergic to Oatmeal, Barley, and Wheat. We haven't tested for Rye, but it's in the same family type so I'll avoid that too. I'm not sure if it's correlated or not, but it does seem to be with my son. He does great on rice. There are many other flours out there than wheat too, so you have a lot to choose from. There are also pasta's, breads, cereals, cookies, made from rice flour and others so it is pretty easy to avoid wheat at this age. My doctors said he will most likely grow out of these allergies by the time he's about 4-5.
What did you doctor say about wheat?