As of 9/11/18, you may use the new feature PlayLink on your mobile devices to get this trophy.
I personally did it with 3 different cell phones. When you start up the game, it'll ask you which one you want to use (controller or mobile) and just pick the mobile option. Then you'll need to download the PlayLink Uno app which is found in your app store on each mobile device. Once you're set up, use:
Raving Rabbids Deck
Stack
Draw to Match
Then just accumulate cards until you think you're over 700 points. Black cards are worth 50 points each, and my two other players had about 40 cards in their hand each. When I finished, I had over 1000 points.