How do I make them stop

One of my pair wont stop breeding. The female is looking tired. Their 2nd clutch is just starting to come out of the box and they are trying to do a 3rd. I have tried a blanket over the cage to cut out the light but that didn't work. I can't and don't want to put them in different cages because they have babies in the box. If you seperate them they scream untill they are back together. I don't want her to have anymore babies this year so she can rest. The only thing I can think of to do is to let her lay the eggs and then freeze the eggs and let her sit on them untill she gets off then remove the box. If anyone has a better idea please tell me. I really don't want her to lay more as im worried about her health.