Speaking as an adult with disease in her throat, mouth, and spotty throughout I think it is might be questionable to ask someone with disease in that location to eat green beans. That could be like taking sandpaper to open wounds.
Plus sometimes you just want to be normal and so you try something that would cause you pain.
Plus lets face it ice cream is also comfort food.
I personally lived off of milkshakes for about a year, because my disease was just too severe to eat normal food. I still cannot eat beans or leafy greens, because not only do they cause me pain, bleeding, plus the chemical burn of the RING OF FIRE, and they come out a couple hours later just like they went in (you see the tooth impressions). I suspect that the green stool and bleeding is probably more like too fast of a transition time (Rapid Transit Time) from mouth to anus (it can also be from green foods or food dyes), one of the stages of digestion in the small intestine is the green bile, so the texture (inadaquately digested food) of the food is scraping her tender intestines as it passes thru too quickly (the stool would be brown if it spent an adquate amount of time in the large intestine). Think about when you have had bad d and your stool was green and you had it so often that you bleed from it, not a fun experience.
What do you like to eat when you have acid reflux (not saying she does have it, but she might not be able to articulate the chemical burn of the pain, but if she is craving milk products I wonder if her body has just figure that home remedy out) and the stomach flu?
See if her tummy aches are due to acid reflux? I found a combination of acid control and pain meds work ok, but I do have constant abdominal pain and will distend due to eating and therefore get more pain around my waist band.
I know this sounds weird, but I have found a fuller fat menu (but not greasy menu, just more cream base sauses, soups, etc), as it slows down transition time. Plus watch the texture of her food (about mash potato consitancy, very creamy mac and cheese are about as exotic as it gets). Nothing acidic, no roughage, nothing you would not give to a kid that only has two teeth. I noticed a difference within a couple of days, but I still cannot eat applesause(because it is still too rough somedays), no corn, no roughage (unless juiced but you have to wait until the bleed stops).
Plus I have found those viactiv calcium chews help a bit too with slowing down the transition time (but it might be too much and make her too solid).
Just a caveat... I am a former marathoner, who became overweight with disease.