Good idea, schools need to be run like regular businesses with proper planning, budgets and consolidation of resources.
That's great. If a single management group is managing multiple schools, there could be a central group that helps home schooling families get up and running as well. A lot of people might be more comfortable with home schooling if they knew they could stay pretty much in sync with a local Catholic school. They could use the same texts, roughly the same lesson plans, and so on. Folks who joined a home schooling group connected with local schools could participate in some group activities, maybe view recorded classes, have help for some courses available for when a parent feels they need help with a specific course, and no doubt all sorts of other helpful things I wished were available when I was home schooling my son but now forget.
I don't know whether a centralized group would help with things like buying texts in bulk to reduce the cost of home schooling but it might be some help. I do think a good many more parents would take the plunge and pull their kids out of public school if they felt like they had a backstop of some sort if they run into problems.
I’m just thinking out loud about this, really, but it seems to me that Catholics home schooling their children could become as common as Catholics sending their children to the nearest Catholic school used to be. The Church providing the guidance and some core elements for parents who home school to build on would be a good step towards more people breaking free of the stranglehold public schools and hence "public morality" have on kids in this country.