B.T.
As someone whose been in a Daycare setting, if we made an accomodation for one family, we would have to make it for everyone. The one thing we used to let kids do were to lay on their cots, and read a couple books if they wanted, as long as they were quiet. Remember, daycare providers use quiet/naptime as time to catch up on lesson plans, re-charge, etc. This is a reason many families opt to switch their kids out of commercial daycares into in-home daycares.