If you live in Edmonton you should have a better idea of whether or not bears will be a problem than most of the people here.
Having lived in Alberta for most of my life and having cycled in the Canadian Rockies more times than I can count ... from my experience, the bears will be a problem if you create a situation where they can be a problem. In other words, if you leave your food lying about ... bears will probably come.
Personally, I'd be slightly more concerned about cougars. I have encountered one, and fortunately it must have decided I didn't look like much of a meal ... but you just never know.
If you're in a group, and you travel smart, you should be fine. And it would be a beautiful tour!!