Given that it is a Chrysler product, likely with the Infinity sound
system.
There is a very good chance the the ground to the fuel pump, power
regulator, or other main system ground in the car has become corroded
and is no longer a good ground.

I have fixed a couple with bad ground to the fuel pump or the blower
motor that was causing radio interference in the past. Ground would
read a few small ohms resistance, but it was enough for the motor noise
to be radiated and the motor would still run.