I think you do need to be a little careful about this though. Our high school offers 21 AP classes, and more Honors classes. Both the Honors and AP classes give you an extra point in your GPA, so an A in them is a 5.00, not a 4.00 (on a 4.00 scale).
At our high school, supposedly each AP class is 2 hours of homework a night, so if the kids take too many AP classes, it becomes overwhelming with the busy work.
If you try to have her take a class that the school feels is too hard (even if you feel sure she can take it), it can backfire with the school grading her unfairly or something like that.