Definitely think that having the question on paper in front of you will decrease your time. Having the ability to mark up and underline absolutely helps me in SA questions with any cond. logic. I would suggest drilling SA questions untimed and trying to draw out the lawgic, as that will definitely help find incorrect answer choices, and often will give you the correct answer.

So this is kind of like an Except question, right? The correct answer choice would be a combo that would never work given the rules, so I would say that your selected answer choice would have to violate the rules, or an inference, and therefore it wouldn't work in ALL possible worlds. I would imagine that the answer choice would have to violate the rules or an inference to be correct. So my strategy would be to see if there are any relationships between the game pieces given in the answer choices and to see if any combinations are disallowed by the rules.

Finding one world in which the answer choice wouldn't be enough because there could be another world(s) in which the answer choice works out. If I get a chance I'll take a look at the game and update, but that's what I'm thinking based off your post.