So this is just a suggestion.
But maybe It sounds stupid but I think it would lessen the DM near the prison and maybe give a use for the PC Prison warden. After a Jailbreak has happened the warden can use a console (computer in the prison) to put the prison on lockdown so the doors wont open for criminals but open for cops. (like a lockdown with an alarm sounding like a bank) but the lockdown will last for only for a few mins or so and all police will be alerted with a special type of message instead of the shit yellow font or something. So police have a chance to suppress it and respond. But after this button has been pressed. And after the warden has successfully done a lockdown. There will be a "JAILBREAK" Cooldown. So no more jailbreaks can be done for so many mins or hours. Up to whoever deals with this decides how long the cooldown should be. But with this cooldown it should lessen the DM and lessen people crying down the radio for DE or HLS to respond.