I think you have to go with a Canadian team with a strong history of winning for this one. Canadian fans are just more rabid, it's a fact (which as an American, saddens me, we gotta pick up the slack).

That means either Calgary, Edmonton, or Hamilton. Since Hamilton's relevance is more of a recent thing we'll rule them out. Between Calgary and Edmonton I think that Calgary has won more in the past. They've just been good for so long, there's no way their fans aren't the best in the league. So based on that, I think Calgary has the biggest home ice advantage.