I know a kid who did that in NZ with an anxiety diagnosis. Often his health school tutor worked with him during free periods at school. He did anything with a practical component at school (metalwork, science, art) and English, maths and social studies at home. It worked well as he could do the health school stuff much quicker than in a class (he also has some auditory processing issues) and didn't get so overwhelmed. Here you wouldn't have the same classes at the same time every day which would make what you want to do tricky but if you do and your son does the work then it could be good.

I think it would be a good way for my kids to do high school especially if I could choose online providers for some subjects and have money (no chance).