Eleanor,
A brilliant idea but would take a lot of organising round here. Our kids would have to negotiate a twisty, narrow B road around the side of a hill - hard work up and down, 3 miles each way, a bit dangerous and there is no alternative road.
Ideally the council would add a cycle lane, but it would be prohibitively expensive I expect.

To top it all, the bus company pulled out of the route years ago on the grounds that it was not economic. A heavy bus subsidy might fix it and I would be happy to pay whatever they charge.
What we have resigned ourselves to is me dropping them off en-route to work, in a way that only adds 2 miles on clear roads and there is no phantom return journey.
-Paul