There are no laws opposing private tutors, are there?
I don’t see how your proposal falls outside of that definition.
And yes, there are plenty of homeschool co-ops around.
We have “math nights”, etc, amongst the folks that homeschool.
Yes, we can call in “My Home Tutoring” hhmmmm
Find an abled and trustworthy teacher and pay them a small fee (maybe pay by the week or month) to home school your kids. This person does not need to know the answer to everything, thats why teachers’ books have the answers after all.
Reading, Writing, Math etc... field trips to the zoo, the museum etc Sounds like a great idea to me.