I would strongly suggest hiking to the Lake Agnes Tea House above Lake Louis. Many people do head up there so it won't be in solitude but the views are awesome and it is a neat experince to have done a decent hike and then have some scones and tea. You can continue on past the tea house and up to a view point which adds a bit of veritcal but much of the crowd drops out at the tea house. If you have the time and inclination, you can make a loop hike and hit the Plain of Many Glaciers Tea House on the way out.

Make sure to try and get out of Banff the town. It is very busy and mostly nick nacks. However, just above Banff there is a via ferrata at Mount Norquay that was a really good time.

paul trusty