If you need public, you can go north or south for reasonable options (within 20-30 minutes of the city).
Trulia has ratings here (http://www.trulia.com/real_estate/Pittsburgh-Pennsylvania/schools/)
Other resources include: http://www.schooldigger.com/go/PA/city/Pittsburgh/search.aspx
Shadyside is Pittsburgh City Schools. Here is a quick "middle school" search on GreatSchools.net: http://www.greatschools.org/search/search.page?state=PA&
You can manipulate the search.