If it's between Hope and Kamloops, B.C., it's on a road I haven't driven or cycled. I can't think of any spot that looks like that on the Trans-Canada Highway or on Highway 3. It's not the Coquihalla either, since that is a four-lane highway which doesn't twist much.
From what I see in that clip, it's not a road I'd like to ride. The shoulder is pretty much nonexistent.