Just some background on me. I homeschooled my children (DS age 12, DD age 16) for about 8 years. In the fall of 08 I started my pre-reqs.
My daughter was pretty much self teaching and was ahead a couple grades. By chance, we found an online highschool for my DD that would pay for an Associates Degree, so I stopped homeschooling for this sole purpose and switched. She has already finished her first couple of college classes and turned 16 a couple of weeks ago. (All thanks to Homeschooling!!!)
My son had some problems (discovered he had ADHD) and so I was always worried how he would do in school outside the home. But, after that fall semester when I started, I just couldn't do it. I found another online school (k12.org) that is a public school and he initially struggled. They started him at the beginning of the grade (rather than mid-year because it was Jan) and he started falling behind. I got him on some ADHD meds and it helped his focus immensely. He caught up, did 2 years in a year and a half and finished gr 6 this spring with all A's. I expect him to start working ahead just like his sister, now that he 'has caught his wind'.
When I did the homeschooling, I initially did everything myself, but towards the end we used the Bob Jones curriculum. It was way more hands on when the kids were younger, they NEEDED the interaction and one on one. It would take hours of my day and was all I did. When I started my pre-reqs, I tried to keep it up with my son who still needed help, but just could not. He required way too much direction, and attention.
If I encountered difficulties with just 7 credits, there is no way I could have done it with a full load, let alone NS. I don't want to discourage you from homeschooling your child, but someone's school *may* suffer... either yours or your child's, even with a team.
There are other options out there, where you can instruct them at home and still get a good education. It was developing and walking them through the curriculum which took the majority of the time for me. Answering questions and marking work was the next. I am very happy with k12, its a free program in my state because its public. My son gets a home room teacher, meets with his class online once a month, hands in work samples and does his stuff online with me just having to mark attendance. It is more work if your child is in a lower grade.
There are other options to also consider; there are schools that use satellite instruction, k12 has a private option where you buy the curriculum, some have DVDs and Bob Jones even has a whole grade available on an external Hard drive. Just expect, no matter what curriculum you use, it will take twice the time you thought! lol
I am sure, if you have a great support system for teaching it can be done. There are parents who do way more! Like some of the above posters suggested, you may want to consider a part time NS or other options. We all have methods that are unique to our situations, good luck finding yours.
Homeschooling is great!