Filter FM can create those intermodulation effects while allowing for more ways in which to shape the spectrum than available through freq shift/ring mod.
Try a resonant bandpass, FM by sine/triangle/square, oscillator freq > 5000 Hz
Use actual radio transmissions as input to the filter.
Also, many ways to make a “resonant bandpass.” One way, start with a non-resonant bandpass and use feedback to generate the resonance externally. Then put distortion or waveshaping in the feedback path. Back off on the feedback gain until the system is just short of self-oscillation, just about to explode into chaos but not quite getting there. This gives the patch a certain intensity similar to that of live transmissions, when there’s always some unexplainably alive component threatening to surface but never quite making it.