I had a non-ideal processing situation for my first batch of CX. 20 CX, an unexpected work trip (for a week) come up during week six, a husband who I expected would help me process them, but then didn't, and it was the beginning of March with an outside-only processing setup - ice was forming on my cutting board while processing. The warmth of the recently drained carcass was the only thing keeping my fingers from freezing, so I worked quickly to try and finish before it got totally cold. The running water I rinsed with was causing minor frostbite.
I ended up processing as many as I could during week 5, skipping week six because I was out of town, and then it took me through week 9 to finish them up (while working 40 hrs a week and caring for multiple children under the age of ten after work and on the weekends by myself).
Chickens from weeks 5-7 got processed as skin-on roasts, chickens from weeks 8-9 got skinned, parted out, and I froze similar thickness cuts together. (Roasts older than 7 weeks were too big to fit in my freezer, wouldn't have cooked evenly due to thick and thin areas of the carcass, and skinning saved me at least half an hour of processing time compared to scalding and plucking, and an hour of setup time. So 8-9 wk birds got skinned and parted out.)
I recruited my oldest child to help as a runner, bringing me things from the house I forgot, and helping set up and break down each processing session. He and my middle child watched each other and my youngest.
I looked and looked, but there were no processors near me willing to do chickens, or folks who I could find to help me. So I learned what to do mainly from folks on this site, and just got it done as best I could, and will not be purchasing chicks in January again.
One thing I considered was selling live birds read-to-process on Craigslist Farm and Garden section (livestock sales are legal there, and living CX are still livestock, not food, so they fall under livestock, not food regulations for sales). I calculated up cost of chicks, cost of feed, cost of raising them, and the live weight, and came up with a good price per pound, and then price per bird. So if I hadn't been able to finish before/around 10 weeks, I'd have sold them there, and folks in my area would have jumped on it. If the bottom drops out of your world, and processing these CX is just not something you can manage, you might consider selling them to at least recoup the cost and effort you've put into them.
It's not an easy situation. Good luck!!!
