As someone who lost the bulk of her hearing from age 7 to 18, I'm going to write my answer as to what I needed back then.
I would definitely put in that she needs to learn ASL. It will become more important to her as she loses more hearing. It will allow her to have more comprehension in college when having an interpreter. In fact, I would put in her IEP that she needs ASL classes with the goal towards fluency and having an interpreter for her classes. As a bonus, it will also allow her to function better among Deaf groups, and she may find that she likes and needs to be a part of that culture. So ASL is also important for her social development and will allow her to function with her peers.
In the meantime, you can put down that she needs good notes taken for her in every class (so that she can just watch the teacher and concentrate on understanding without having to look down all the time to write notes).
Put in for speech therapy, so she can learn how to consciously make the sounds of speech (which involves knowing where to put your tongue, how to push the air out of your lungs properly, lip position and jaw position). This will mean that when she loses more of her hearing she has the foundation already there that will allow her to continue to have clear speech as she ages. As someone who grew up speaking, she will probably really appreciate it later. I consciously use my speech therapy skills every single time I speak, and as a result there are no issues with anyone understanding me and it makes it easier for me to function in the hearing world.
I would definitely request the CART, it would probably be done remotely, so all your daughter would have would be a computer screen to look at rather than hiring in someone to come in the class and do it. I would have loved to have had that for my education but it wasn't available in ye olden days. Even if she has it, she still needs a notetaker. There may be diagrams put up for the class that need to be written down, and you can't effectively read something while writing down something different. Because the quality of notetaking by students in the class is going to vary if they decide when something is important (like saying "only take notes if diagrams are put up), the notetaking must be done for the entire class period every single day of class. It's not the notetakers decision to decide if something is worthy enough of being written down, the notetaking needs to cover everything. So make sure you put in that the notetakers be good and thorough, and have an orientation in the first week of class to make sure they know how to take notes for someone who cannot hear.
I don't understand why they don't accept your audiologist's tests. You need to go and talk to them and tell them either accept the perfectly valid test results you have, or the shit and get off the pot and arrange a new one at their expense before she loses more access to services and loses access to knowledge.