I have chinchillas - 4 at the moment. I don't think a C&C cage would be appropriate for them at all. Chins chew, so the coloplast would be demolished in probably a couple of days, and the chins could get sick from eating it. Also, chins need height more than width ... they need room to jump and climb, as opposed to room for running laps. Chins also need shelves big enough for them to perch on and a place for their dust bath to be given. While chinchillas are related to guinea pigs, their needs are totally different. I suggest you check out (broken link removed). You can get all the information there you need on cages, care, etc.
I went through several cages with my chins. I first got one of those store cages supposedly designed for chinchillas. It was quite small, so we could only house one chin in it. When we got our second chin, we upgraded to one of those store bought ferret cages ...it was wire with a plastic bottom. The clamps that held the metal parts together were also plastic, and in a matter of a few weeks, our chins had chewed them all off and were escaping several times a day. We tried cable ties, but our female could snap those with one bite. So we finally custom built a cage with wood, melamine, and wire mesh. The melamine is good because it's water proof ... you don't want all sides of a chin cage open, because chins sometimes spray urine. You can see a picture of our cage on this site, it's posted under cages for other pets.
Good luck!