Interesting PK - our eaters which don't keep for long are.....Blenheim Orange! They are totally delicious and do really well on our freezing, windy Scottish hilltop, but they quickly go wrinkly in storage.
MGM and PK - we don't have a 'frost free' shed anywhere (or a vermin-free shed either), so we store our apples in a wooden apply rack, single layers, unwrapped, in our scullery, which is cool but not cold.
I think I just need to use the cookers more quickly.