Insane Difficulty: Insane Difficulty Olympics 2017 - Bishop's Challenge! - Insane Difficulty

Welcome to the Insane Difficulty Olympics 2017!

One year ago six of us here had a class draft challenge. I got stuck on Zombag on my Mediator, Wizard, Knight, Flotiballs, Chocobos only run, and your challenge is to beat the battle that bested me!

Challenge comes is Easy, Medium, and Insane difficulty.

What's on the memory card:
A save file right before Zombag.

Objective:
Beat the battle! And the one after it, if you like!

Challenge levels:
Insane: You may use only Mediators, Wizards, Knights, Flotiballs, and Chocobos. You may use Squire/Chemist R/S/Ms but not their skillsets. This forces you to win without any kind of revival. (Hint: Mediators' Preach grants reraise. See, e.g., my Queklain kill earlier in the run.)

Medium:
You may use only Mediators, Wizards, Knights, Flotiballs, and Chocobos but you may also use all Squire/Chemist skills. (The non-use of Item or Basic Skill was an extra self-imposed challenge in the context of the original class draft run.)

Easy:
Just beat the battle with this save file.

The save file:
http://ge.tt/7Enn44j2

When is the ID Olympics due? I remember this fight being kinda hard, but if I make up some free time, I'd like to try.

There's currently no deadline, because I'm giving each community time to brainstorm things.

Also, what I wanted to suggest, already done by Biship, was to have two difficulties: Newcomer, and Veteran of he mod. That way, both members can participate, which is the whole idea. So more time needs to be spent to brainstorm two challenges.