My personal advice would be not even bring that. Rather than that get lot of masalas and pickles. You could buy and electric cooker here which would be even more better. Get some utensils may be like frying pan and spoons and etc. Elaichi, clove, cinnamon MUST GET- masalas like haldi, jeera , chicken, garam masala, chili etc.
Most Indian foods are available even in small cities.
Wear your shoes to save space in the box. For some weather conditions Indian leather shoes may crack, but not in Tucson. If you are the sporty type or if you wear shorts to school you will need a good pair of sneakers soon, don't buy them in India good cheap stuff is available here. Exceptions are leather goods, formal wear. In a month or two you will be in a position to get anything you want unless you are not on aid.