That will work. Some info that might help.
It takes about 25 hours for an egg to make it through the hen’s internal egg laying factory. It can only be fertilized in the first 15 minutes of that journey. If a mating took place on Thursday, Thursday’s egg is obviously not fertile. Friday’s egg might be, depending on the time of day the mating took place and the egg started its journey. I usually assume no, it is not fertile. Saturday’s egg is almost certainly fertile.
Note this is after a mating. A rooster does not necessarily mate with all the hens every day. After a mating, the hen is usually fertile for about two weeks so he just has to mate with each one every two weeks to keep eggs fertile.
There are a lot of myths and mythology about storing eggs. It’s not like eggs are fine for a while then after a magic number of days they all go bad. What actually happens is that they are pretty much fine for a while then depending on how they are stored they gradually decrease in hatchability. In general you can store eggs for about a week and they are fine as long as you don’t go to extremes in heat or humidity and just take reasonable precautions. It is best to store them pointy side down. That way the air cell stays in the fat end where it belongs and try to avoid really cold (like near freezing) or really warm (like in the 80’s Fahrenheit). If you store them longer than a week you should turn them a few times a day to help keep the yolk centered. After two weeks of good storage hatchability can drop, but many of us violate some parts of this and still do pretty good. Doing it according to the guidelines improves your odds of success but does not guarantee absolute success just like violating some guidelines does not automatically guarantee absolute failure.
The big reason to set them all at the same time is to avoid a staggered hatch. Staggered hatches are really stressful and often lead to less than great success. Some people do staggered hatches as a matter of course but these are usually people with experience and often have a second incubator used only for hatching. They move the eggs to the hatcher for lockdown. You can have brooder problems too with different aged chicks. The successful ones have a system down for hatching and raising them. For your first hatch, I strongly advise against a staggered hatch.
There are lots of different ways to do about anything but I suggest you get some experience before you start to branch out. What you outlined sounds great to me.
