Vancouver Island is really cool. I stayed up in Campbell River for 5 nights.
You will see black bears all right but I don't think there are any grizzles.
The mountains and forests are pretty cool even though they are not Rockies.
You could also go Whale watching, depending on time of year, up north.
As I said before the distances are huge, so do you want to spend a day in car/bus?
The major tourist centres do not have large airfields because they are in National Parks.
Take a look at maps, if you want to get to the touristy Rockies i.e. Jasper, Lake Louise, Banff you are talking about nearly 10 hour drive from Vancouver. They are actually in Alberta now BC.
You could go Wells Gray National Park up near Clearwater, nice place, mountains, rivers etc and lots of bears. It is nearer than other locations but not as touristy or doesn't have the lakes.