|I'd go from Vancouver to Kelowna, visit some wineries and do some cycling on the kettle valley railway trail, then head to Vernon and up Highway 6 through Lumby over the free ferry to Nakusp, visit the hot springs, maybe do some hiking or cycling, and head over the free ferry to Revelstoke. From Revelstoke head east on the TransCanada Highway visiting the national parks along the way to Calgary. They're pretty much all spectacular, and you'll have lots of time to explore. The badlands of Alberta, around Drumheller, are worth seeing. Depending on how much of Alberta you want to see,you could continue east to Medicine Hat and then come back, on the southern route (Highway 3) through Lethbridge, taking a side trip south to Waterton National Park before driving back into BC over the Crowsnest Pass. Stop at the Frank slide site, where a whole mountainside come down on a village last century.
Continue through southern BC on Highway 3, through the East and West Kootenays. Spend a little time in Nelson and Rossland. Go through Oosoyos, maybe visit more wineries, then take the Hope Princeton back to Vancouver.
You'll see more of the province than most residents do.