Have you considered Hwy 16 out of Prince Rupert or, even more remote, Hwy 20 out of Bella Coola? Don't know if you're planning east to west or west to east - Heckman Pass on Hwy 20 would be a wake-up call - but they have far, far less traffic than the TransCanada or the Crowsnest. For either route you'd connect with the BC Ferry which would give you a cruise on both ends of the journey like the Newfoundland Ferry in the east. Then a cruise down Vancouver Island.
The Lower Skeena is stupendous - very light traffic and a road that follows river level for 250 km. There's a new lodge/campground at Kwinitsa that breaks up the 150 km stretch between
PR and Terrace. K'san Village at Old Hazelton is fantastic. Stop by the BC Forest office or write them - there are rustic campsites throughout BC. No matter which way you go, I would hope that you take the Icefields Parkway all the way to Jasper rather than cutting off at Lake Louise. It's the best of the Rockies. If you do go thru Jasper, make sure to stop at Mount Robson just across the border in BC - Kinney Lake is 5 km in on a trail which permits bikes. The backcountry campsite is stunning - plus you should give yourself an extra day to hike to Berg Lake.
Have fun - - J