I'd do it by snow conditions. I assume by Big 3, you're looking at Sunshine, Norquay, and Louise. I'd skip Norquay unless it happens to be amazing, but check out night skiing there if that's an option and you're staying in Banff. Sunshine and Louise both have some decent runs for HB, and when it's good snow at Louise, it might not be great at Sunshine and vice versa. Is it possible to do a day at each of Sunshine and Louise and pick the 3rd day depending what you like. The scenery and the atmosphere at each is probably worth checking out if you've never been out here.
The locals are usually found at Nakiska, but that isn't probably included at your deal, and the snow isn't phenomenal quite yet, although the snowmaking equipment is out in full force!
I'm sure somebody will be out... not sure what my wife's work plans are yet for the weekend.