Ha! Was told that it is a Learning Disability that is often compensated for until child's work gets too hard & can no longer compensate. She is a mainstream kid. We will send her to private school, but want to be sure school can accommodate/work with her & that she will succeed.

Here's a list of private LD schools, that may or may not be appropriate (I'm not sure how many are for Grade 9-12, but maybe a school in your area could give you an idea of where their students go for high school.) community.greatschools.net/groups/11554/discussion/152556
For what it's worth, my son, even with his dyslexia, dysgraphia, and ADHD attended a regular parochial high school, and was able to take some honors/AP classes with accomodations like extended time for test taking. Private schools are not required to make accommodations, although his did. If you can't find ones that do, you may still want to consider public schools with an IEP, since your daughter has now formally been identified with an LD.

Well, I was also a main streaming kid myself when i was younger. If you are thinking about sending her to privet school, because you think she will do better then mabe you should sender her to a privet school, but you may want to take into consideration her own feelings and ask her if she also thinks its a good choose. You should always ask your child how they feel before you move them, because that can cause a drop in ththeirchool work and grades. Starting a new school with new one she knows is always for a child, esespeciallyhen hahavingo leave friends and teachers that supported them to do good. So talk to your child and ask her how she feels.

Not all private schools by any means are equipped to teach children with even slight learning differences. Just because a school is private doesn't make it better. Private schools do tend to have smaller class sizes than public schools and that can do wonders for some children but for others much more is needed than small class sizes if success in school is the goal.
There is a guide to the private schools - pretty much all of them - called Peterson's Guide to the Private Schools. It might be of help.
Most of the private schools would want your son to spend a day in their school before they offer him admission - when he spends this day, he may come home with insights as to how good a fit the schools feels to him.