I think that eggs are refrigerated to slow down their inevitable aging process. Which shouldn't make it a problem to store fresh eggs in any degree kitchen until they're used. They won't spoil, but the longer they set out the more rapidly they will age.
But they will be good to eat for quite a while. I think there's some USDA or Egg Council website with the statistics.
I treat my eggs the way most of you do: don't wash if they're collected clean, dry-rub off any small bits, hot-water wash only the ones with a sticky mess. I do my best to give buying customers the cleanest-looking eggs, the ones that are gathered like that, not washed unnecessarily for sale. Many times I have to leave baskets & cartons of newly-collected eggs on the table due to lack of room in the refrigerator. The cracked or washed eggs will go in the refrigerator first.
I have many busy roosters but you can't tell by looking or tasting the eggs. I usually don't make a big deal of telling folks "These are fertile eggs", just let them know I have roosters & let them do the math.
Once I found a hidden nest with 24 beautiful green eggs. They all looked alike so I suspected only one hen of laying there. Therefore, the oldest egg would have been at least 24 days old. And have been left outside all that time in the broiling Florida sun. But these eggs were so clean & so lovely that I didn't want to waste them....
...so we ate them! I brought them in, stored them in the refrigerator, and used them up over the next week. I cracked them separately into a bowl but they all looked fine, perhaps one or two with a runny yolk.
If those eggs could stay good for so long under those conditions, most other eggs should be fine kept on your counter until you want them.