Network computer installation auto deployment... desperate for help

Hello,
I'm desperate for some help on this matter. I'm a high school teacher and would like to use Unity to teach in my class. My district put in place a new procedure next year that prevents the installation of Unity on school computer. I request for this software to be install in a lab of 40 computers. They reject and this is the reason "There is a silent install /S switch but I have not been able to get this to deploy properly."

They also comment that "The problem with this software list is that the software needs to be something we can deploy to multiple computers at once. We cannot have a technician sitting at each computer installing the software manually, one by one. If we cannot deploy the software, then it cannot be used..."

I don't know anything about network or deployment. Please help.