I would have no problem with what you're asking as well. However, I wouldn't allow the lunch time drop off, it's just no fun to come to daycare, eat and then sleep. But I would certainly allow the am drop off. I might suggest that on those days that I take the child for the entire day and you enjoy a nice day off.

If someone is paying me for the space then I don't fill it. They have first right of refusal. I might do some drop in care but nothing consistent.

If I were you I would maybe suggest to the provider that you will continue to pay for the day, however you will be booking your child in for a full day every so often and you will give sufficient notice for that.