Those of you drying to the point where the stig (stem) snaps or the cone is falling apart are drying too long.
The whole point of drying is to remove enough moisture so the acids and oils don't oxidize and the cone doesn't rot or mold. If you get rid of most of the moisture and then freeze the cones, they will keep 6 months to a year without worry. If you overdry, the lupulin (yellow-gold powder) will fall out and reduce your hops' quality. If you dry with too high of heat (110F or above), you risk vaporizing the oils and loosing some of the flavor.
Set them on a screen in a dry place, garage usually works. Gently blow air across them if possible. In 12 or so hours, you should be ready to freeze them. The cone should open slightly. The stig should be dry but not brittle.