A similar question about warfare in an age of perfect surveillance, the proper countermove was to create a decision tree, and then use a random number generator, set of dice or deck of cards to randomly choose the path you were going to go down and immediately execute before the adversary could bring countermeasures to bear.
Ths investigators have essentially the same issue, so they might develop multiple lines of investigation. The criminals can see multiple patterns of investigation being drawn against them, but are unclear about which one they will have to foil.
Do they attempt to hide or obscure the forensic evidence the criminologists are looking for? Can the develop enough internally consistent lies to counter the lines of questioning the detectives are building? Can they erase enough eye witnesses the uniformed officers are interviewing? How about informants? can they find and eliminate them in time?
The police can also play games with the criminals through these means. They might start focusing on "Benny", a mid level criminal who the criminals under investigation are being led to believe is an informant, but their actions in silencing "Benny" actually help a different investigation - "Benny" had nothing to do with the matter at hand. False lines of questioning, sending criminologists to look at apparently unrelated evidence...The police might be essentially creating an entirely false but self consistent narrative to confuse the criminals as to what is actually being looked for. Think of the movie "The Usual Suspects": Keyser Söze isn't just telling a story to confuse and throw off Agent Kujan and buy time, but telling a story to see what sort of reaction he is getting and changing the story on the fly as he observes the reaction of the police. Now imagine a skilled interrogator doing that to the hapless criminal.
Of course, given the police have effectively far more resources than the average criminal, they also have the option of pursuing all the lines at once, and simply overwhelming the criminals. Only the largest and most organized cartels or mafias would be effectively able to cope, and even then, would likely be constantly being chewed up around the margins unless they subvert the police (much as happens in the real world).