What you propose is all good in theory but would be impossible to enforce in many country areas. I live in Harris county, Houston , Texas and a short 30-40 minute drive would put me in the most back wood out of the way neighborhood you would not believe. Barely accesible without 4 wheel drive, things go on there nobody knows about.
I though that we we talking about a monsters causing public mayhem? If what happens in the boondocks stays in the boondocks, no problem.