Interesting thread, I think its a great idea! Your heart is in the right place, and you would be saving a bunch of other hens off of CL, and your current flock would have a happy life, but, theres always a but.
I'm not going to repeat what other people have said, but to sum it up, I agree that you don't have to proper quarantine facilities to bring in new hens,
@TheOddOneOut explained it perfectly.
I also understand your reasoning to donate your hens, and save some more. You want to do this so you can save the lives of some CL hens, and I believe your thinking more about the hens than yourself here. This makes sense.
But, I have to agree with everyone else, for the reasons they listed.
To add, I think that if you still wanted to do this, go for battery hens! They're vaccinated, kept away from other birds, and badly need homes way more then CL hens do.
The down side is that they probably won't be layman anymore, and you wouldn't be getting eggs. Maybe this does't matter, maybe it does.
Overall, its a great idea, and can definitely be done, but I think you'd find that its more work then you expect. Keep thinking about it, and as long as you fully understand everything that is going to need to be done, and you think you can make it work, and have a budget to maintain it, go for it! Just make sure you understand exactly what your getting into.