I had a home childcare business for 5 yrs, & was homeschooling at the time. For a period of that, I was single as well. I had a few homeschooling families that I provided childcare for over the yrs. These are my 2 thoughts on my own personal experience with all that:
1. I'm SO grateful that I was able to be home with my homeschooled kids & still make an income. But, it started to suck as my own kids outgrew the ages of my day care kids. Most of my day care kids were all toddlers or preschoolers. Their parents would pull them out when they were old enough to start public school. So, my kids got very bored. My DD was 10 when I closed my business. She'd been hiding in her bedroom all day for yrs by that point. She wasn't interested in hanging out with toddlers all day. I felt horrible for that. Plus, my childcare was usually 100% full, I had no time at all to actually homeschool during my business hours.
2. I was happy to find those homeschool families who were looking for FT care. I didn't offer any lessons for the kids (no time for that), but I was happy to be supportive of kids that were stuck in day care when all the other kids their ages were in PS.

The only thing that got weird there, was that they all thought my DD was their built in playmate because she was the only child there near her age. Sometimes this was fine, & other times my DD didn't want to entertain other kids she wasn't really fond of all day every day. My poor DD really doesn't have many great memories of my day care yrs & has claimed that she is *never having children* ever since. ~sigh~ But, the homeschool kids who were young had a great & fine time playing & doing crafts with all the other youngsters.
Anyway. I have no idea if any of this is helpful in the slightest. I just wanted to share my experience.

I remember all too well how terrifying it was for me to try to figure out how to support my single self and homeschool at the same time! I wish you tons of luck.

