So, I think I have the pattern down for how this system works, at least with my setup:
Here's Nikki Bella. She was the first Super Rare card that I got playing Exhibition. I've not lost a single match with her, because as I've seen before, NO ONE seemingly prepares for a Diva's match. She is one of the two cornerstones for this deck and is one of the reasons she is my champ. (I have another reason for that which I'll explain later.)
Rusev (and potentially Brock Lesner) is my other cornerstone. Rusev is my weakest card and will continue to remain such until I find another Super Rare that is the weakest. Rusev has lost the most rounds of all of my cards. And his losing is important to winning the game.
Dolph Ziggler (and potentially Dean Ambrose) are my strongest cards. They are setup for the win by the cornerstone cards.
Here's the process.
Anytime a Diva match occurs, I play Nikki and she insta-wins. No powerups. At any match point, she wrecks the ring. This leaves me responsible for only winning two matches.
Whenever the first match occurs that isn't a Diva match, I send in Rusev alone, or with Lesner if it's a tag team. Always send in the weakest one (or two) FIRST. The computer will 90-95% of the time respond with both the strongest cards in their hand AND the power card. Which leaves them open in the next match to bring out the more powerful Dean or Dolph (or both) depending on the requirement later.
These are the reason for the 90-95% above. It gets a little tricky when Nikki isn't called up to the ring. You have to sort of "feel out" what you are coming up against and play to the abilities that you think the computer will call for. particularly when you have a third match that comes down to the lesser stated wrestlers. But figuring out what abilities you will come up against is not as difficult as it seems, most of the time...
Remember what I said about the champ above? You can tell with a little uncertainty what type of deck an opponent is playing by merely glancing at the champ they are representing with. Most enjoy using the WWE wrestler that they favor and their playstyles tend to edit around that champ. This is the other reason why I use Nikki, to avoid a read on what play style I use. Little do most know that she's the reason my deck works so awesomely. ^_^
(In this case, I would probably pick the Batista opponent, because my deck stands toe to toe with the power/toughness game and fumbles with charisma.)
TL;DR: Pick a opponent with a champ that works to your abilities. Send in your weaklings first, dominate the second match, fumble for third with the power cards unless you have a wrecking Diva in the wings.^_^