I've ridden the Canadian side both with the car and the bike. Bike was much more exciting and interesting. I remember on the run from Jasper down to Radium Hot Springs after passing a group of cyclists slowly climbing a long hill (no shoulders) there was a fairly large tree right beside the highway, shaking like crazy for no apparent reason... until I got within a few yards of it... There was a huge brown bear tearing the tree to shreds and those cyclists were going to meet it within a few minutes. You really have to watch the wildlife along that run especially in the early morning with all the shadows. The scenery was breathtaking.
Have fun on the ride and make sure you take the time to view the scenery stopping often. I felt I was a bit rushed when I pass through due to forest fires that were forcing some road closures.
