Can you not put him in a pac-n-play on the main level with you with some toys. I had to do that with my 12 month old a few years ago that never napped. The parents used to put him to bed at 5:30pm and he would wake at 7am then take him straight to me. 7:30-5pm at daycare, it used to make me feel so sad to know he never had quality time with Mom and Dad.
This is why I do not allow drop offs past 9:30am. It disrupts the flow of the day. If DCD mentioned that his son just woke up...I would have handed him back and told him that 1-3 is Naptime for your daycare. Non negotiable. Parents Fail or DON'T CARE that this is our only time to catch our breath, get our rest period, eat, prep for the afternoon snack, etc