To start with a register in the same way that child minders have would hold the name of the ACTUAL parents. They could be called and investigations would not be held up whilst basic facts established.
A regular interaction with authorities. Say 6 monthly. (Personally I'd prefer 3 monthly but most Home Ed's have a dislike of authority so a compromise required).
Some kind of documented outline of the type of education being provided. By topic for example but 'something' that has to be completed. Because this is NOT about those who genuinely Home educate. ! All those people can easily provide OR would have no problem providing the above.
Some kind of unannounced 'spot check'. Criminals who exploit children are highly clever, manipulative individuals who will go to extraordinary lengths to cover their tracks. If they know someone is 'coming' they will set it up to look the part. Genuine Home Educators do not need to do this.
This is about a child's right to be safe and receive an education. Not an adults right to educate at home.
There are many thousands of amazing home educators in this country without provide a unique (and often) superior education for their children , to that , that can be obtained in the public/private sector. There are also many many abusers, manipulators , criminals, and traffickers who use this loop hole to get away with terrible crimes. I have seen this with my own eyes. On numerous occasions.
There are also a whole pile of feckless, lazy neglectful parents who can't be arsed to take their kids to school, who are increasingly using 'Home ed' as their default line when the welfare officer gets too close.
I really am name changing now.