That is a shame to see from Free League. I know Vaesen is on my list to help me run better investigations along with Call of Cthulhu and Monster of the Week. And as a sci fi nerd, I want to see Blade Runner too with having some nice brooding PCs. And now you're going to make me want to read what you come up with!
But seriously I love that you replied and look forward to seeing what you make.
I just ran an Avatar Legends adventure "Water & Mist" where the Players have to find someone and they are presented with an 8-segment clock out of character to represent time pressure. If they couldn't come up with ideas, they could always take time (and Fatigue) to investigate and get a lead. But they generally did a good enough job getting information from people and find clues that it wasn't needed. Just a cool idea as a fallback and a way to abstract investigating a large area for clues. And though the players didn't know, if the clock fills, the kidnapped victim gets blown up. As a nice positive game loop, when the clock gains 2 segments, the PCs get another event that they can use for more clues.
But the setup looked complex with a lot of clues, NPCs, Locations and interconnections between them all. I think a lot of Gumshoe games work similarly.