When my hens get laying good, they lay one egg a day, not one egg every other day. It is also common for more than one hen to lay their eggs in the same nest. Removing the eggs daily will help to keep the hens laying and decreases their broodiness. I don't know how a hen would react to a sudden increase in the number of eggs in the nest.
When I am collecting eggs to incubate, I collect them for 14 days. I keep them in a cool place, big end up, and try to turn them three times a day. I do this with chicken eggs, guinea eggs and turkey eggs. I have had good hatching success doing this.
There have been studies done for storing eggs pointy end up without turning the eggs and keeping them in a closed plastic bag. The last I read of this method was by @
Sally Sunshine when she reported on a successful hatch where she had stored the eggs for a month.
Eggs left in the nest are handled differently by the hens than you would handle them. The hens move the eggs multiple times and the eggs that are already there get a light warming when the next egg is laid.
I had hens that would sit on the nest at night when there was a danger of a freeze and then leave the eggs unattended once it warmed up during the day. When the hens did finally go broody on that nest, most of the eggs hatched the same day. What hens can do and get away with won't necessarily work for us.
Good luck.