Do your schools not work on a direct feeder system? If you go to elementary A B or C, you go to middle school D and high school E. If lower schools feed into different high schools I can see why you'd need ways to distinguish them, but it seems like things could be so much simpler if they were the same.
In my county there is a system based on where you live, but most middle schools and all public high schools have different I guess you can call them "specialty" programs (my high school was biotech science, and there was IB, Cambridge Program, Arts, IT, etc at other high schools) and you could pick whatever high school (and some middle schools) that you wanted to go to and do that program. Most kids ended up going to their base high school, but many transferred to a different school. I passed three other high schools on my way to school every day, but it was worth it for me.
I'll go ahead and add my mascots, too. It's fun seeing everyone's.
Elementary School: maroon, gray, and white- Roadrunners
Middle School: maroon, gold, and white- Sabres
High School: blue, gold, and white- Yellow Jackets
College: blue, gold, and white- Mountaineers
Grad School: blue, buff, and white- Colonials