Edmonton to Vancouver is about 1100km, if you go the jasper route. Fairly do-able day trip. If you leave at 6am you should be pulling into the city 12 hours later for dinner
13 hours if your bladder is small and you didn't pack snacks. Stopping in Kamloops for a sleep makes the trip super easy if you need two days. For me, timing always has hinged on how busy traffic is in the park. From Hinton to the BC border; speed limits vary from 70 to 90; single lane. So getting up early (5am); your typically past/through the park by 9ish.