Anything organic can be composted. Too many predators around here to have rodents so that's not a problem.
What do you think happens when you put it in the bag and send it with the trash? It goes to a dump, infested with rats... and what the rats don't eat it decomposes over time. Your contributing to a disease more likely by throwing it in the trash.
Also about 200 birds only gives off about a 5 gallon bucket of edible waste for a rodent the rest is feathers. If put in a sunny location with lots of carbon materials such as old wood chips, leaves, ect. will decompose by the end of the week. It gets too hot inside the pile for maggots and rodents to live in the pile. Plus the dogs usually run off other animals that want to get in.
It's funny becuase the maggots after they hatch at night you can see them crawling out off the compost pile becuase they can't take the heat. The flies lay the eggs in the compost and they don't realize what happens to the maggots.
I know I'm not alone in composting my offal and dead birds.
*edited* Feathers take a few months to compost, only if your compost pile is hot. If we do a lot of birds we have a black tarp we throw over it and put old tires on top to help keep it hot. Even on balmy 30 degree days you can see the steam rolling off of it, especially after we do our 1,000 birds in the fall + 200 turkeys. They pile is huge and by June of the following year it is awesome black soil. You have to layer it quite a bit and cover it for the winter to keep things from digging in it.