If you do a bit of research, you'll soon be able to answer for yourself that homeschooling can give many children a definite advantage, without the need to create the artificial situation of "socializing" with same-aged peers. (At no other time in life, other than mainstream school, is our social life limited to those our own age.) You can also find lots of anecdotal evidence that homeschool doesn't turn out well for some kids. What I'm most struck by is your feelings of defeated, tired, depressed; and it makes me wonder if you might be able to see this decision more clearly (either way) if you would address those feelings first.