The strong silent type is a useful fiction archetype that you can use in games. Simply have anyone who looks tough and intimidating be very short with words, even to the point of not speaking at all - even though they could speak if they wanted to.
The obvious implication is that they're not particularly bright, so this is an easy subversion to surprise players if at some point they reveal themselves to be a lot more clever than the party suspected. They could even be the silent mastermind, taking care to observe more than interact, so they don't give anything away.
Commentary by memnarch (who has not seen the movie)
Point in case, an experimental hyper-something should definitely be of interest for spy reports and Mr. Shut Up doesn't seem to know it. An experimental hyperdrive could be moderately dangerous, a hyperdeath-ray probably much more so. Even something completely nonsense silly like a hyperlaundromat should be thoroughly investigated in case it's a code name for an object of interest.
Hmmm, making a copy of the map is going to be difficult as BB-8 doesn't seem to be interested in sharing. On the other hand, perhaps copying the map doesn't trigger this doom curse, so the party could use another copy to figure things out as well. In-movie, I can't think of any examples where copying data occurs, only cutting and pasting. So I'm going to guess Finn is going to steal the map from BB-8 at some point to hand over to the First Order, but in-game, the party will end up trying to destroy the copy to prevent it from being used rather than stealing it back.
Commentary by Keybounce (who has not seen the movie)
[Keybounce's comments will appear here when received.]
Finn: Also, they have some experimental hyper—
Quiggold: Shut up. We don’t care about that. What about this map to Amidala?
Finn: We don’t know—
Quiggold: Shut up. Ren will want it. Can you steal it?
Finn: It’s digital. I can make a copy. Then they—
Quiggold: Shut up. Good idea. Do it.
Finn: Does your friend here ever talk?
Sidon Ithano: Every time I ope—
Quiggold: Shut up!