I teach in the bush and would love to see someone try this.  Maybe it would work, but it would not be the slam dunk you seem to envision.  I believe in the power of lean competition, but it is just difficult to find the right people to work in the bush and the cost of everything is high due to low economies of scale and lack of infrastructure.  Sincerely, I'd love to see someone try privatized education in the bush.  I think it would be an unmitigated disaster.  Not that the public version has been tons better.