I just wanted to add that homeschooling hours need not coincide with regular school hours. So you could be schooling him after you get back from work or on weekends/holidays, whatever works for your family. As ultramrina said, as long as you can figure out what to do with you kid while you are at work, the homeschooling piece can be made to work.
Out of curiosity, if one chooses to HS, can the kid still go to school for lab work, sports, etc?