Compressor.app supports creating presets for easy export settings. And Apple’s standard line is to add those presets (.settings file) to ~/Library/Application Support/Compressor. However, this is a crappy option for an educational setup where you have several users all using the same computers. You can’t ask students to be installing the settings files themselves (students are a special breed).
So, looking in that folder ~/Library/Application Support/Compressor, you’ll find some Aliases. Right clicking on “Other Workflows”, and saying “Show Original” will have you in /Applications/Compressor.app/Contents/Resources/English.lproj. So, you can drop that .settings file in “Other Workflows” and have it show up for all users.
But better still, is that those will show up in FCP. You should be able to go to File->Share, and change “Apple TV” or whatever is selected to “Other” and select your Settings file.