killcolitis,
Did your daughter ever try the formulas with an NG tube? Probably won't be an easy thing to convince her to try but, with the NG tube, taste isn't an issue and, when it's not an issue, you can use it at room temperature (most say the drinkable shakes taste better cold). Being at room temperature may be easier on her tummy and, using a pump and tube, you can control the rate/speed of the pump. My son did it overnight, so again, when you have 8 hours to run it, you can run it at a fairly slow speed.
FYI, the formula prescribed (by HSC) to Stephen was Tolerex (but not drinkable due to the taste) but perhaps (just a guess???) it is very easily absorbed.