I think you may be missing the point. Fact of the matter is, the average joe is going to end up thinking that the road can be ridden faster now that the corners have been cleaned and will end up trying to rail faster through the corners as a result. It's human nature. You don't really think most people would still ride at the same pace, do you? I'd be willing to bet that after the "cleaning", there would be more crashing.
There are other problems as well. How clean is clean and how long will "clean" stay clean?
Do you sweep long enough to remove most of the easily removed gravel and dirt but end up leaving the fine stuff so the road looks clean but has a fine coating of dust or sand remaining? Do you miss spots? Do you get all the loose stuff off but there's still a mist of oil on the road surface from a local farmers 1963 Ford pickup that normally wouldn't be a problem but now that you're going through the corners faster is a problem? And even if you do make the road spotless, who's to say some debris ends up right back on the track from any number of ways between the time you proclaim it clean and your first "run" on the road? Or, assuming you clean all the larger stuff off the road, you've now removed most of the more easily seen visual markers that the surface is dirty and riders miss the fine dirt and sand that remains and end up going down because they don't see the dangers. The larger stuff serves as a more easily seen warning that there are traction problems in that area.
Bad idea all around, IMHO. It's a public road with it's share of "problems". Leave it as it is. Even if you were to get it spotless for one day, do you really want riders to be wicking it up (and they will) on a road with zero run off and miles from any emergency help?
Leave the road alone and ride accordingly.