Thanks for the offer, Janie, but I found a couple of sources for eggs on this side of the pond! I'd hoped to find a local breeder I could go to and buy eggs, to avoid shipping. But, I never found anyone close, so shipped eggs it will be. Shipped eggs are such a gamble, they may or may not hatch, depending on just how badly the package is abused in transit.
When a bird has CHF, (I meant to go back and change that to Congestive Heart Failure, but forgot, sorry!) one of the easiest things to see if that when they're at rest on their keels, the comb will get very dark, nearly purple. When they stand up and move around, it returns to normal color. They also start to get labored breathing, and may even sound bubbly or wheezy. When bird shows those symptoms, butcher it quick, or you'll likely lose it.
I've found that hanging feeders, right from the start, just high enough that they have to stand up to eat, and taking away the feed every evening, maybe an hour or so before dark, leaving only plenty of fresh water to drink, helps a lot. I have often taken the time to pick them up and take them outside the coop and put them on the grass. That way they eat a little green stuff, on their way back in to the feeder, and they at least have a little walk. That reduced leg problems and CHF quite a lot. I did lose some of my last batch to heat, when the temps spiked up above 100F for a few days. They don't deal with excess heat very well.
I was told by a lady at one of the hatcheries that when she finds one just laying near a feeder, she'll isolate it from the others for awhile, with no food, only water, and after about a day and a half, they're back on their feet again. They can gorge until they literally can't move.
All that's the CR X's, but I bet it would help with the RC's as well.
I did raise some CR X hens to maturity, a long time ago. They laid enormous brown eggs, many were double yolked. They all eventually succumbed to CHF, but the last one, Bertha, I finally realized what was happening, and we went ahead and butchered her. dressed out to around 15 lbs., she was huge. Like a small turkey. I don't know if they would do well hatching their own eggs, they're so big they might break them all, or the hens may not survive brooding a clutch, sitting on a nest for 3 weeks, due to the breathing and circulation problems they get, but you could certainly incubate the eggs, or let a smaller hen hatch them for you.
I hope you'll post your results, I love to hear how these different projects turn out.