Tim,
Play Banff and Jasper while your there they are two of Thompsons best five courses. The drive in between the two is stunning. For perspective I have been through that area five times and only choose to play golf on only two of the trips. The scenery is unrivaled in Canada - don't miss it.
I you don't stop at Peyto Lake, Morraine Lake (my favourite place in the world), Johnston Canyon, Lake Louise, Columbia Ice Fields, Sunwhapta Falls, etc. etc. you have missed a great opportunity. If its cloudy, just drive across the continental divide (into BC) at Lake Louise and go to Emerald Lake and it will be clear.
I once drove for 16 straight hours with my wife because we couldn't get enough of the mountains. Enjoy. I'm taking my kids there in the first week of July to see the mountains.