Personally, I would cook them until they are done to your liking.
And reheat the next day, using a rack in a pan with some water and covered.
I don't believe there are any safety issues here. Except possibly the cooling.
You want to cool your product as rapidly as possible.
One of the very best methods is once your product is just cool enough to handle, place it in a large ziplock bag, and remove as much air as possible. Then place it in an ice bath.
A cooler filled with ice and water is perfect for the job.
Leave until you're sure it is good and cold, then refrigerate.
I hope this answers your question.