PC- at least here in my part of the state of Ohio, part time/infrequent use of a daycare really doesn't exist, unless you are talking about a drop in type center. Here, you struggle to find a facility willing to take you even 3 days a week! They want/need to fill their spaces, and the state usually limits the number of beds they can have/fill. So, if your daughter is there only a few hours a week you will probably either pay for time you simply will not use OR not be able to get her into a daycare.

You might be better off finding an individual person looking to make a few dollars during the week.