Ever seen the whole "conspiracy corkboard with strings and pins" ? It's admittedly a bit of a trope.
One of the reasons is it interesting is that it allows you to get into the way the character is thinking. What connections they're making, their overall goals. Add to that red string is visually striking, and you have an easy, cinematographic way to handle researching into abtruse subjects.
So here's my shower thought.
What about a fake conspiracy corkboard ?
First of all, why a fake conspiracy corkboard ? Well, obviously, it would exist as a distraction. The point of a conspiracy corkboard is to draw and structure attention into a number of patterns of thought. If you're following the patterns of thought, then you're not looking for the secret door behind the corkboard. Or you could be sent into all sorts of red herrings from the idea associations of the corkboard.
Second question would then be, how ? Admittedly, you could make a conspiracy corkboard with random articles, but it would either imply to the exterior person taking a look at it that you're insane, or that you're trying to distract them. And the issue when someone knows you're trying to distract them, is that they become harder to distract even if you've probably gained some time by then. It makes them look at everything with suspicion. While this might be an occasion to later do mindscrewy things, I believe designing a corkboard around a fake purpose with functional, but artificial, connections stands a better chance.
This leads to the end of my shower thought. There are two very fun things that can happen to the character setting up their fake conspiracy corkboard. One would be that they start getting into it. The second would be that they actually start happening onto a real conspiracy.
Depending on the bent of the character, one of the two is more likely to happen. In particular, the second can make for an interesting plot opener for a semi-villainous protagonist, while the first is admittedly more suited for an antagonist.