20 simultaneous 1080p Transcoded streams will take an ENORMOUS amount of CPU horsepower. Frankly, I doubt your school system has that kind of money earmarked for use in the budget.
A more ‘normal’ higher end modern computer ‘may’ be able to handle 20 simultaneous Direct Play streams without issue - unless the Network becomes the issue with insufficient bandwidth.
The Audio Visual Department - I assume that’s you (
) - will have to do some testing and possibly some homework developing some skills encoding, remuxing, altering and customizing the preparation of your media to ensure it Direct Plays across all your devices, then start delivering these streams and find out if and where things start to break down.
Plex is fantastic for the home user in that a standard home computer can, in most cases, transcode and deliver 1 or perhaps 2 1080p streams. Push that to 20 and you need one of these:

Media Preparation can be done quickly and easily enough by just about anyone with a few skills and the willingness to do the work and that could mean the difference between buying the above or this one below:

Many people use MakeMKV to rip the base streams from DVDs and Blu Ray discs for home use. That’s fine, but the problem is that usually produces streams with bit rates in excess of 30MBps. As an educator it will be easy for you to start adding these up to see where the problem is going to be delivering those kinds of bit rates across a local network.
However, if the AV Department (again, you) performs another step - breaking those MKVs down with Handbrake (or other) to more reasonable bit rates - say 3.5 MBps while ensuring the material Direct Plays across these devices the network may be able to deal with those without issues. The differences in quality ‘may’ be visible to the Human Eyeball, but the Eyeballs in my head can’t really see them and if it means the difference in systems between the two images above I’d go with the latter.
If the AV Department (you) can work this out, develop these skills and make it happen you will be highly sought in your new career as AV Department Chief for the entire school system in your area and be able to write your own ticket. There’s some incentive for ya…
Not that you need any. My Father was an educator and would have gone to any length to help just one of his students and would have climbed Mt. Everest if it meant helping hundreds or thousands.
Teachers are indeed special and should be considered a National Treasure no matter which Nation they reside in.