You don't have to compost them. You could put a then layer directly around you plants. Part of the reason to compost is to kill grass and weed seeds. That shouldn't be an issue with chickens. With the mix of shavings and manure - - it is not like putting straight manure down. It serves to purposes - mulch and fertilizer.
Now, if you just don't want to deal with it - - - MAKE a big pile of it and advertise on Craigs list. FREE CHICKEN MANURE . . . and your local gardeners will come and get it !
Good Luck !