Mafia: general discussions.

But how will the town then figure out which of the clues is the real one? I like this option more than the current one because then the clues will fit into the setting and won't stand out from the newspaper (although there are such clues even now). But will this really help the town?

To figure it out, you'll need to analyze the psychology of behavior, rely on the results of other investigations. See who is defending the player and who isn't, and how the player himself reacts.
After all, when you know that you are a town member and the clue cannot be real, that's one reaction, but when you suspect that the clue is correct, the reaction will be different, logically, right? This is basic.