Okay I've never processed so pardon me if i say something stupid.

You said you don't pluck so am i correct in that you are doing "Skinless" chicken ? now for the dumb question. how deep do the feathers go ?? Does the skin pull back like when you skin a fur animal (deer/rabbit) with the feathers still attached. I cut up store bought chickens and carve a whole cooked bird so I'm good with that. I'm really interested in processing without having to gut since I don't cook whole birds anymore. Also mom used to save the margarine (yuk) containers and freeze smaller portions of chicken stock. I'm sure there are similar containers out there today that would work the same way.
Freezing Stock in ice cube trays is also popular, even if the portions are embarrassingly small. Typically, they are then popped out of the trays and then transferred to large plastic bags for storage. We usually transfer ours to large glass Bell canning jars while still steaming hot, allow them to partially can themselves as they cool, finish tightening the lids and place in the back of the refrigerator. They don't last long enough in our house to need freezing. Additionally, by storing that way, the fats and gelatins suspended in the stock don't separate out while freezing, which makes cleaning easier (who wants to clean a half dozen ice trays, anyways???)
Actually, my wife started stock with the carcasses of a chicken and a duck yesterday, plus some organ meats, necks, wing tips. We are having Southern-style chicken noodle soup now. Later, we'll probably squeeze a bit of lime, grab cilantro and ginger from the garden, a bit of ground dried Thai chilis (same), and sprout some mung beans. That will make a couple more lovely bowls. Then stretch the rest with a bit of chili powder (plain, achiote, chipotle), more lime, some tomato, maybe some corn, and finish it off as tortilla soup. Good stock is glorious.
/edit and to answer your question, feathers are like hair or nails. Well embedded in the skin at times, but no deeper than that. Peel the skin off, take the feathers with.