OP I'm assuming that your children have a good bond with your nanny since she has been with you for 5 years? I know she is not the perfect nanny candidate now, but it might be worth considering that the kids have bonded with her. In this tough year it might help them with all the other transitions (no school, little to no extracurriculars, exc) if one thing is able to stay the same.
Also, I'm going to assume you and your nanny are on the same page with social distancing and you have no complaints. This is a plus as lots of other posters have mentioned that they can't seem to find nannies that are eye-to-eye with their Covid comfort levels.
You mentioned that she doesn't clean well. Would you be able to show her how you would like things done as she seems willing? Seems like a silly thought but perhaps she was never taught how to properly clean.
You could also try to work out how much it would cost to hire a tutor for a few hours a week for your 3rd grader. Perhaps you could amend your nanny's work hours accordingly and still have your nanny helping with all the logging on/staying on task for the rest of the DL days.
I understand you would like a nanny that fits all your needs, but you are a bit late on the nanny hunt and I'm not sure how it would work out for you.