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The high level of potassium in bananas helps to replace electrolytes that may be lost by severe bouts of diarrhea. Bananas are also rich in pectin, a soluble fiber that helps to absorb liquid in the intestines and thus move stool along smoothly. Bananas also contain a good amount of inulin, another soluble fiber.
The key is fat content and preparation. Most of the foods on the AVOID list are high-fat. I have been doing OK with coffee, tea and orange juice, so I don't think you need to worry about those. Banana are high in potassium, somthing they pump into you after an attack, so I think you're good there too.