In my pre-college schools, no one was allowed in the hallways during classes. More noise came from adjacent classrooms, and on rare occasions, from outside the windows.

The funds available to build any school is inadequate because of the "Use It or Lose It" policy. All school systems are given a budget, if they don't use all of it, they loose part of it the following year. So money is wasted and none of it saved. Consequently, there is an enormous amount of waste.

Your proposal might be plausible if school systems would change the way that they do business.

Also, many of the school systems are quite corrupt. As a trivial example, go to one of their football games and count the number of hot dogs sold. Then attend the Concessions Committee meeting and listen to the Treasurer report. You know how many dogs were sold and for how much, but the Treasurer report will show a much reduced balance from what it should be. Take your findings to the Board of Education, they will shun you and nothing will be done. The Board of Education knows such graft takes place and is likely a part of it in other ways like Contractor selection for building projects and undocumented gifts and money changing hands.