Ok, well we switched insurance and now have Blue Cross. But they won't cover any testing regarding ADHD which is the same as the old plan. I don't know specifically about LD's. Schools should at least be able to tell if child has a "disorder of written expression" even if they don't label it as a disability. If the school doesn't know anything about dysgraphia, I'm not sure they would be competent enough to choose tests that would pick up the issue.