Sounds like you can stick with the "lighter" breads and pastries while you are there. Also, I believe that churros, the wonderful breakfast pastry, is made with bleached flour. The Spanish word for wheat is "trigo" and wheat germ is germen de trigo. Perhaps you'll need to ask if you aren't sure.
As for milk & ice cream - I think the foods here in the states are over processed for the most part and perhaps that is why you have the reaction you do. Enjoy the foods you can while you are there! Also report back and let me know how it went in terms of food.
Tomas
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"Salud, amor y pesetas - y tiempo para gozarlos" http://home.att.net/~t.macentee