As for home school, that probably wouldn't work as I really struggle helping them with just their homework! I would make a poor educator, academic-wise!
I think you’d make a great homeschooler. Teachers who learn with their students are often the favorite teachers. There are plenty of online and other resources, and people who can correspond with you.
Besides, no one would have more of an impact than you. YOU. The time you’d spend with your child as opposed to on a part-time job would be well worth it for you both.