I think that is a brilliant idea. One of the tings that I noticed on my visit to Poland, was that next to all these schools there was no recreational facilities. I know that the government has been running quite a successful Orlik program, though I am not sure that is enough. What about other facilities like swimming pools and the like.
Yeah, the access to sport is really dreadful if you don't have money here. It's partially the fault of the schools - where I am, you're looking at around 100zl an hour to hire a school hall - which is utterly ridiculous. You're effectively looking at having to make 200zl an hour to make it profitable to run a class - which means charging around 20zl an hour - utterly unaffordable for poor kids.
There's plenty available for middle class kids, but for poor kids? Forget it. The culture is all wrong too though - many PE teachers are from the Communist mindset of high performance - and simply don't have any interest in kids who try hard but don't perform well.