I like your spirit, but the thought of trying to persuade a faculty senate to trust a computer solution more than the lady named Carol who's "always" made the exam schedules [adjust for local conditions] gave me my first good laugh of the day. Nothing about academia is optimized, and that's the way they like it. (To be fair, when I was teaching I kinda did too - it gave me latitude to arrange things, like my testing schedule, in ways that I believed were best for my students.)