The "chicken chute" is the kite that you put up when you are too scared (i.e. "chicken") to put up anything bigger or lighter.
Typically it will be 1.5oz cloth (or even 2 or 2.25oz cloth), small and flat and, essentially, bullet proof. It will generally be a kite that you can carry fairly shy too.
fully crewed boats it has been my exerience, in a blow, that the younger less experienced crew always want to put their balls where their brains ought to be and put up the bigget kite they can get away with, while the older wise heads (and the guy who pays for sail repairs
and replacements) generally opt for the chicken chute!
P.S. To answer the original question, and with the caveat that my catamaran
sailing experience is somewhere between limited and negligible...
Might you be better with a reaching sail and heating
up your sailing angle, rather than sailing dead downwind? If you do want to sail dead downwnd, how about carrying a poled out headsail (or even 2 poled out headsails, port and starboard if truly DDW)?