Hello hello! Interesting problem.
The National Highway Traffic Safety Administration's database doesn't show any radio-related recalls yet, however there are two others that you might want to check out as well.
Search for the recalls at
ODI - Office of Defects Investigation.
Under "Select the TYPE of search", select "Vehicle" and then click the "Search selected Type" button beneath. Choose your year, make and model. Under component leave it where it's at, and then check the box beneath it and click "Retrieve Recalls".
Just as a head's up, their website's going to be down on 9 February from 9AM to 5PM (Eastern Time).
Sounds like you own a fleet! Along with checking the radio faces and making sure none of the buttons are sticking, another thing to think about is radio or electrical interference. When my dad had his '85 F-250, which had an aftermarket radio installed, it would only sometimes change AM stations (did nothing to FM) when there was a lightning bolt in the vicinity or when he used his windshield washer. In my '91 Explorer, a base-model AM/FM radio (without CD or tape player) was installed by a previous owner, and it would randomly act as though the "Audio" button had been pressed, making the display show Fade or Balance instead of Volume. I don't know if Ford used the same radio in their 2007 Crown Vic's.
With it sounding like you own a fleet, I'd wonder if you had any sources of radio or electrical interference inside the car. I know CB or other two-way radios can cause quite a lot of interference around where the wires are run. I've read about Squad-Vic's in the 80's having their ignition signals become susceptible to radio interference due to the placement of the Police radio wiring.
Hope this helped bring about some ideas!