We just verified that Lightspeed has KidzSearch.com categorized as a safe Education Site. However, our games section under the games.kidzsearch.com domain, is listed under "games," but that is expected. It looks like your specific school decided to block us based on your feedback.
Have you tried contacting the system administration group at your school? We could personally reach out to them as well, but you would need to supply contact details to us as a private message.