Hi oj,
I'm sympathetic to your situation; many parents are in a similar boat juggling childcare and work, and it can be a challenge, doubly so with a new baby! (Congrats!!)
My answer will hinge on the degree to which you require childcare coverage for your work. When I evaluated kindergarten for my child a few years ago, my calculus was a combination of three goals. This thought process was helpful then, and I'd use a similar lens if I were to do it again.
1 - Childcare coverage so I could work
2 - Academic fit and opportunities for meaningful learning
3 - Opportunities for positive socialization
It sounds like item 1 is a fixed constraint for your family. Only you can gauge to what degree your family can juggle / stagger schedules (if you are partnered or have supports), and how the options available to you meet your needs. Your older DD seems like she's getting a rich experience at home - obviously thanks to a concerted effort on your part! Given how difficult conditions are in the pandemic, I hope you're giving yourself a pat on the back. What you're achieving is no easy feat.
In my own experience, childcare was my most intractable constraint for the kindergarten year. We achieved a tolerable, but not ideal, balance with my child attending public kindergarten for half-days to have opportunities to interact with age peers and sound off half my work day. The remainder of his time was with me - as my work was flexible enough to swing into morning and night shifts remotely to cover the remaining hours, and he spent about an hour with a family member in our home. His learning profile was similar to your DD's. For us, this arrangement served as a stopgap year, nothing more, until I could afford a more flexible private school.
We ultimately found a better fit in a mixed-age private school environment for the elementary years that allows considerable flexibility and individualization to reach ahead of grade level.
I hope this is helpful, in some small way. Know that there are many of us here who can lend a sympathetic ear and suggest things that worked (or caution about things that didn't). However, your knowledge of your own family is paramount.
Good luck!
