As a true type A, overachiever, tons of stuff going on all the time person, I completely understand your fear in taking a break from school.

However, if you continue to have the added stresses and stimulation that school brings, you may be prolonging your recovery, because your brain can't heal in the state you are in right now.

Complete physical and mental rest, (especially mental... the least amount of stress as possible) are what you brain needs to be able to begin healing so you can feel better.

You seem pretty certain you want to continue with school, but speaking from experience if you are able to take a break from school, consider doing so. You will heal faster and feel better sooner. If not, you are going to continue to be stuck in the awful place you are right now.

Hope you find some relief soon