Welcome to the board. You do have a tough road to follow with those. There are recipes under the "tips" section for various things that are free of many of the things on your list - you will probably have to learn to make substitutions for the rest. Here is a great link to help make some substitutions when cooking yourself:
I would also just search around the tips and resources links on this board for other great ideas posted by our members. Hopefully some other posters can help with some corn or rice ideas. There is also a celiac board on WebMD that might have some good advice about avoiding wheat, since that is a component of the gluten-free diet.
Deb (40) DD (4) Funny, spirited, curious, has a severe milk allergy, DS (1) fearless and bottomless, peanut allergy
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