She probably is eligible for an IEP because of ADD and auditory sensory processing disorder. IQ has nothing to do with an IEP. An IEP is to help children who have difficulty learning because of a learning disability. My granddaughter has an IEP because she is ADHD.
Could you be predisposed to think that the school is unwilling to help her because of your experience as a student there? Could your approach be somewhat negative which feeds into the teacher's negativity? Do you think that the "chip" on your shoulder which is apparent here might be apparent to her teacher?
Have you talked with the school counselor or principal? When you're unable to feel that you've communicated with one person, try a different one.
I may be reading your message all wrong but it feels to me that you've already made up your mind about the school staff hearing you and helping you find what will best help your daughter within their system. I suggest that you work on having an open mind and start over.
As far as an IEP is concerned contact your school district's Intermediate Education Service District. My granddaughter's school counselor helped my daughter to do that. My granddaughter has had help from a special teacher with her reading as a result. She is also attending a homework club to help her complete her work. At the counselor's urging my daughter took her daughter to the pediatrician who initiated an assessment for ADHD and when the assessment indicated a high probability of having ADHD prescribed medication.
My daughter is ambivalent about using medication. Her son has also been diagnosed with ADHD and someone in his pediatrician's office recommended trying the Feingold program which includes dietary changes. She is learning more about it with the idea to give it a try.
I understand why the school cannot give your her next year's teachers name. There may be changes over the summer and to start telling parents about assignments that may be changed is not good policy. My granddaughter's school asked for input from parents a couple of months ago just before they began to consider next years schedule. Perhaps yours did to but you missed the notice.
I suggest that you approach the school principal or vice-principal with a well thought out description of your child's needs. Make an appointment and discuss your concerns with them. Keep an open mind. State as many positive things about the teacher and the school as you can. Remember that they are people who are in this position because they want to help children. Just like most of us they will respond much better to someone who has an open mind and is willing to also listen to their ideas.
Education is a collaboration between parents and educators. When we approach them in a professional manner they will most likely be able to listen to you and share their thoughts with you.