Lake Minnewanka is a 20 minute drive from the Fairmont Chateau and it is a beautiful lake again with various trekking tours around it. It is also very scenic to take photographs.
There are many other things to do in Lake Louis. You can take a ride to Banff, which is a Canadian town near the Rockies or drive to Jasper or neighbouring places. You can also go take a Gondola ride in Lake Louis where you can see the entire lake down from up above and many more mountains.
The best month to visit Lake Louise is however the summer months because the lake freezes in winter and people ice skate here. The view is definitely better in summer.
How to get here?
You can take a flight to Calgary and drive across the Canadian rockies and get here or you can go to Vancouver and drive here. Calgary is closer so it is a better option.