Abba_S, I lived in Rochester for a bit. They do indeed have a wonderful yeshivish community, with amazing and affordable schools, including a Chofetz Chaim.
Dunno if you were serious, but I would really not recommend attempting to commute from Monsey…the houses are cheap and depending on your field, it shouldn’t be too difficult to find a job. They have a recruitment committee that can help. Google “torah rochester”.
I do have to disagree with your assertion that a homeschooled child who takes online courses will be unable to go to work, get a college education, or learn in yeshiva (in other words: his life will be over and he will be a failure as an adult). Of course homeschooling is not for everyone. But it does work well for many children, including with the online supplement. I do not believe that the coursework involves a daily 8 hour block of computer time.