When we had a late arriving flight - or really, any flight that arrived after 5 pm, we always stayed at one of the nearby airport area hotels.
We had their shuttle service pick us up, and we took the same shuttle back to the airport in the morning, after breakfast. So when we got back to the airport, around 7-8 am, it was as if we'd just arrived.
Pick up the rental car, or the Mears bus, and we were on our way. Drop bags at Bell Services and head to a Park - well rested and already fed.