The problem might be to convince a fair-skilled cook to do the nightshift, especially if the job doesn't pay that well. Maybe there is an external 24h delivery service in the area that can be organized through the concierge?

Reminds me of the 3:30 am noodle soup breakfast I once had at a Korean night restaurant preparing for a morning meeting some four hours drive away. All the other (rowdy) customers where coming to have their bbq plates and beer while I slurped down my Udong and waited for a call from my equally pissed off colleague with the car.