Hi Brian,

Are you using soft panniers or hard ones? I ask this because naturally the soft panniers will be easy for Teddy to get into whilst aluminium or plastic ones will create a bit of a barrier.
Are you packing bear spray? If so did you fully read the instructions on the can? This can be a great deterrent if encountering bears at 20 feet or less. If you intend to purchase bear spray I would suggest "Frontiersman" that has a luminous safety catch on it so it glows in the dark.
Next.....where are you in North America? Are you in Grizzly or Black Bear country? (or both?). Black bears are more abundant and more of a cheeky scavenger whilst Grizzlies on the other hand can be predatory. Note:-all bears can be predatory, I'm just generalising here without going into reams of type. Most of the time in both the USA and Canada, the national, state and Provincial Parks systems will post warnings on trails or campgrounds if there has been a problematic bear in the area. Naturally you could encounter a bear at any time anywhere so it's best to visit a local ranger/visitor station to get clued up on what to do in case of an encounter.
On the lighter side, I haven't heard of a motorcyclist vs bear encounter in years!
Here's a nice little link for you. Stay safe in bear country, look for bear sign - YouTube ......please don't watch stuff by peple who call themselves "bear whisperer" etc....they usually get attacked eventually! LOL.