Maybe a different, more eclectic style of homeschooling would work for you, if you are thinking one other style wouldn't. What if you had a private tutor help out with some subjects? Some college students will work cheap, and they often advertise to help students with math, foreign languages, etc.
Also, many public schools accept home-schooled students on a part-time basis, or for only certain classes. For example, if a student wants to learn about subjects that wouldn't be possible at home because of a lack of equipment, the school may permit him to take those classes there (like science classes that need lab equipment) and this also goes for extracurriculars, so homeschooled students can play competitive sports.
Or you could look into the alternative schools in the nearest large city, if you could handle the transportation.