They tested that theory in West Point, but it turns out people avoided touching the dying and dead and the disease was kept in check using home-made disease control and ambulance services: http://online.wsj.com/articles/liberian-slum-takes-ebola-treatment-into-its-own-hands-1414080932
The disease simply cannot double each month without keeping the dying at home, washing the dead, etc. Even a modest effort like in West Point is enough to avoid your scenario and non-third-world countries have zero chance of your scenario.
Let’s hope you’re right. So far, doctors and nurses are dropping like flies and they are failing to contain it, period.
Again, my numbers are pathetically understated.