The original Jack FM was in Vancouver (started about 6 months before Calgary) and is also at 96.9.
The Jack franchise is owned by Rogers. The Bear is a Standard Radio (owners of CJAY and Vibe) brand in Edmonton and Ottawa.
Rogers in Vancouver doesn't have a "Bear" station, but they do have a "Clear" (
http://www.1049clearfm.com/ -- it looks like a more feminine version of Lite 96), perhaps that's what you saw.