I am a private childcare provider. Your best bet will likely be looking at private or licensed home daycares. There is a category for that here on eBrandon and there are a couple fb groups that you should definitely post an ad on!
In theory the registry seems like a good idea but in reality, it isn’t the best. A lot of times it is just calling/messaging at the right time that often results in a parent finding an open spot.
There are many amazing home providers but just take the time to do some research and meet with a few. I am sure you will find one that you like and who has policies that you agree with
Good luck!