Too much stuff - too little time. It will be a blur and the driving will be hectic. Plan on driving from Vancouver to Calgary with points along the way that suit your particular interests. The mountains have beauty wherever you go and exploring one area will have its rewards as you become familiar. I'd stay in Vancouver a couple of nights and skip Whistler - unless you want to ski. Then go to Jasper via Nelson and stay there. Down the Icefields Parkway to Lake Louise and Yoho and stay in Banff. Then catch your flight. Still a ton of driving and you need to go slow to see anything - and stop often= and walk!