When I'm in this situation I compromise. I dunno if you eat your rabbits, but it's one way to solve the issue. What's sad is when the younglings are still small like that, it feels like a waste I know, but if it has to be done then just treat them like quails vs chicken. It's smaller but just cook both at the same time. If you can't bring yourself to do it, another emergency thing I do is set up my sħower as a spare cage with a litter. Even if they're not clean right away the shower is easy to wash. Since mine has solid walls and not curtains it works well as a temp cage. I block the drain with a plank and let the fan run 24/7, it's nescessary because the shower wont provide enough airflow without it wich will be bad for their health. But bonus, you can add that they're already litter trained to your add that way.
As for CL, it doesnt exist here but peopler have the very bad habbit of not reading the description over here so I edit the pictures to add a tag with the nescessary info on it