You might want to read through this. It's talking primarily to people using incubators but it has some good information on storing eggs for incubation, and that is the same whether it is for an incubator or a broody.
Texas A&M Incubation site
http://gallus.tamu.edu/library/extpublications/b6092.pdf
The short answer is you can store them for about a week at "room" temperature without a problem. If you store them longer than that, they need to be turned and it really helps if the place is a little on the cool side. If the humidity is up there a bit, that helps too. It is not a case that at a certain age they automatically go from hatching with no problem to none of them hatching, but more that the longer you keep them, the less likely they are to hatch. And the better conditions you keep them in, the longer that time period will be.
On room temperature. You don't want room temperature to be too high. I don't know the exact temperature fertile eggs will develop, but it is a lot lower than incubating temperature. If you store them too warm, some can hatch quite a bit before others.
I have real troubles here in the middle of the sumner because we don't keep our air conditioning cranked real low, but anything below 80* F is probably OK. Some people in really hot climates do keep their eggs in a refrigerator, but that is in the warmest part of a refrigerator with the controls set a little warm, or maybe a specific refrigerator just for hatching eggs set really warm.