I have a bit of a different perspective.
Because of DD's LD and processing issues I insisted on a no homework policy through elementary school. She's a humanities kid and would listen to high level audio books or watch historical documentaries all day if we let her. But the tediousness of doing homework would have been counterproductive for her. School was the work part of her day and outside of school learning was pure fun.
Neither we nor the school district could find an appropriate school for 7th grade so we put together an outside the box composite program - part targeted services, part homeschool (really selfschooling...), part bits of specialized programs. We got hold of a syllabus for a high-level 7th/8th grade history class at a nearby school that was really more of a high school course. DD didn't have the text referenced in it so did her own research on line to learn the material. She went from a kid with a homework exemption to a kid who did SO many hours of research I would sometimes have to tell her to stop and go do something fun. But for her learning IS fun.
That spring we started her at a school that offers 1-1 classes. She walked in the first day and handed her history teacher a packet of short papers she had written on all the ancient history topics she self taught. Once he picked his jaw up off the floor he knew just how to approach history with her, at what level she was learning and just how eager a student she was. He focused on teaching her how to make her research more formal. Basically the angels sang...
She now does homework for all her classes at this school but not hours and hours of it. Because all classes are 1-1 things are adapated to her LD issues and how she learns. It wouldn't be easy to do in a regular school setting. She still does some research on her own on outside things that interest her but not as much as she had in the past.
So I guess my suggestions is find something your DD is passionate about and encourage her to work on that. Find something that challenges her to reach just a bit outside her comfort zone. It doesn't have to be school that challenges her or teaches study habits. DD spent 100's of hours researching a topic for a hobby. She never understands "what the big deal is" when she does some of the extraordinary things she does. It's just normal for her. I'm guessing your DD may be similar. Even if she does some amazing work she will probably not see it as anything special. Just guessing.
Oh and as a freshman at a highly ranked university, surrounded by some of the best and brightest who graduated at the top of their respective high school classes I distinctly remember the week the first round of test grades came back. They landed like a nuclear bomb. Hundreds of kids who skated through HS doing minimal work for top grades had their worlds impload. Scores of 29 or 36 were like daggers in their hearts. Partying came to a screeching halt, people learned to study. Not everyone made it - there was a very high attrition rate. Very high. So your DD is not alone.
Just my 2 cents...
