The Banff Springs Hotel is the Fairmount property as I recall and it is popular but I have also heard some mixed reviews recently anyway!
Rimrock Resort on Sulphur Mountain is super!
Similarly Chateau Lake Louise, the Fairmount property, despute the wonderful views is not quite as great as you might imagine, particularly when it gets overwhelmed in summer.
The Post Hotel, with fantastic food and wine would be my likely choice here!