I've been thinking about that. Seems to me the best time to run the generator would be earliesh in the morning before the sun gets too high. My thinking is that up to about 70% of the charging cycle the battery takes in the most amps. After than the chargers/charge controllers/battery decrease the amount of current going into the battery on a sliding scale. Therefore to get the most efficiency out of your generator get the batteries up to 70% before the solar panels start to kick in. Then let the solar panels "top up" the battery. And at least size the batteries and solar panels so that they will top up the 30% of the batteries by the time the sun gets too low.
Of course all these numbers will be different for folks depending on their power consumption. And if you want a microwave to run for 20 minutes during meal prep well get the generator going then.