Eastern Tennessee to British Columbia's Lower Mainland to New York State... sounds like a grand adventure!
I hope you have lots of time.
An obvious choice after pickup is to visit the Rocky Mountain parks, such as Jasper and Banff. From there to New York State you can take a Canadian route north of the Great Lakes, or various U.S. routes between the lakes (such as through Michigan then southern Ontario to Niagara Falls) or south of the lakes (through Chicago then south of Lake Erie). Although I like the scenery north of Lake Superior, it is very slow going due to winding two-lane highways, so most people would suggest crossing from Canada into the U.S. by North Dakota at the latest.
Even if going south of Superior, the trip is an opportunity to visit more of Canada by coming back in at Sarnia or Windsor (Detroit) to go through southern Ontario. If you keep going along the north side of Lake Ontario you can see the big-city sights in Toronto, historic Kingston (the other one!), and the Thousand Islands area.
I just checked in Google Maps, and was surprised to see that the North-of-Superior route is only a few hundred kilometres and five hours longer than the most direct route from Banff (for example) to Albany... but that still doesn't make it the preferred route for someone who is crossing the border anyway.
So the big question: when is the pickup? Even now is already "later in the year" for the mountain parks and prairie provinces (Alberta, Saskatchewan, Manitoba).