Won't mess up anything, they'll hatch just fine if you keep humidity raised. It should be 70ish %, mine hovers between 70 and 80%. You are talking about quails, I assume this is your first hatch? One member here on the forum had an experiment to try to dry hatch the quail eggs under a table...
If an egg passes thru the hen too quick, it will not develop a color pattern. Stress most likely. Couple of my hens spill these out when an animal visits their coop at night.
It depends on what you supplement them with. If you give them a lot of seeds with omega-3 (flax for example), the eggs will taste a bit fishy. Try to figure out where your quails take all those omega-3s from :D
1. Bake something with them. Its a holiday season after all - gingerbread, cake, cookies, etc - and share with your family/neighbors.
2. Pickle quail eggs (bunch of recipes on this forum)
3. Feed extra eggs to quails - boil them, mash and give them to quails. They love them! Excellent protein...
Coturnix are pretty hardy and if acclimated right can handle up to -45 F in winter. They will need a good shelter that protects them from the wind and chills though.
If you want to add coturnix to existing bobwite flock - scrap that idea. You may have a slight chance if you raise them together, any other effort will be a waste of time.
It never becomes easier, sorry. I always turn my head to the side when I chop the heads off. The way you need to think is that you are doing this for husbandry and to maintain a healthy flock. Without our interventions, quails wouldn't be domesticated. We are playing by the flock's rules, not...