First-timer here --- I have 3 extremely broody cochins and today I started setting aside eggs for them to hatch. At this moment they're in an egg carton at room temp of about 75-78. IS THIS TOO HOT? Do I need to spray them with water? I have some I'd like to hatch from this morning's collection but I accidentally rinsed them off with water. They haven't been refrigerated --- are they still okay? How many days will they last in these conditions before I put them under a hen? A week? Thanks!