Briz is also allergic to poultry and I don't feed a lot on the way of grains. Since we started getting the allergy I friendly box I have only had to give away maybe one item every couple of boxes. We get lots of rabbit, pork, and venison goodies and it's helped me discover new things like the Superior Farms venison crepe as an alternative to beef hide chews.
I think it'll be one of those things where we just have to try it to see.