I've just completed four flights on Emirates (JFK - DUR via DXB) Unable to upgrade ahead of time however was able to use miles for three flights and a 'promotional offer' for one at each airport, and in one case the lounge. You'd be best booking business and trying for a late upgrade instead of trying for three award seats. Take the single one that's available now and gamble on the other two being available just before the flight. And if the upgrades don't come through...well biz isn't that bad either
Edit: had booked a discount biz fare, upgrades were to F