C.L.
I'd check out the local homeschool boards and meet some actual homeschoolers, have some playdates or go to a co-op. I think you'll find that homeschoolers do very different things... for some I'm sure it's a larger expense than others.
I was homeschooled and there are many pro's and con's. Feel free to PM me.. I have some piano students that are homeschool and they may be willing to have you contact them if you'd like more info from actual homeschoolers.