Great question!
Seems most folks, myself included, have our own methods to accomplish the listening/auditioning aspect of processing adjustment. I recommend you have a well-known, and trusted, monitor location to reference the sound of your station...and any competing signals. This could be in the PD's office, engineering shop, car, T.O.C. - wherever, but do create one. If possible to incorporate various speaker types into this setup, it helps a lot.
I personally have a trusted portable radio, and set of headphones, whose 'sound' I know very well. Also, if you are comfortable with the sound of a particular car radio, that works too, as you'll be comparing your sound relative to other signals, on the same radio. I wouldn't recommend making adjustments to suit one car over another, as all radios do have their own signature. Generally speaking, once you get the processing dialed in, it should play well on all radios.
Now, while this works for me, others may use a different method, and that's OK!. If at the end of day, the goal is achieved...STOP!
-Frank Foti