It's possible that the washing did it. When you wash them, it takes off that protective membrane around the shell. I always wash my incubator eggs but the incubator is sterile. There are loads of bateria in her nest and on herself and when you take away that membrane, they can invade and kill the embryo. I actually just washed mine from a broody because I didn't catch a rotten egg on time and it exploded all over the other eggs and herself. She got a bath, and I cleaned the eggs, I'm not very confident that they will hatch, but I still have hopes. It's good that you caught those bad eggs, they could have also exploded on her and it's one big horrible mess to clean up.
You can try another hen, we have cochins which are annoyingly broody, and we try to stop them most of the time, so if you give them eggs, they will sit on them but a lot of breeds are not like that and some have even had the broody instinct bred out of them. If they are close the hatching, you could try to rig up some sort of temporary incubator, I'm not sure how to hold up humidity, but just a heat lamp over a box could potenially keep them at 100 degrees. You would have to play with it to get it at the right temp. but its very possible. maybe have trays of water sitting around them? not sure. But to hatch, they should be at 100 degrees the whole time and with 45% humidity from day 0 to day 18, and 65 - 70% for days 18 to day 21. Before you said one hen only had three days left, I would definately try this with those since they are sooo close to hatching. I have had chicks hatch in low humidity in the past. Some will not make it without human intervention but some would. So if its your best bet and no hens will take them, use a heat lamp and a box at 100 degrees and maybe some water trays spread around.