beep when key in ignition and driver's door open

94 Civic EX. I find it quite annoying that the alert that sounds when
the key is in the ignition and the driver's door is open apparently
can't be turned off easily. There are plenty of times that I want the
door open while listening to the radio, and that infernal beep either
drives me bananas or, more likely, I'm forced to shut the door.

So, I'm trying to figure out how best to deal with this. On the one
hand, I could simply disconnect the piezo buzzer, but that would
completely disable the key alert, which can be useful in avoiding
locking the keys in the car, so perhaps I could install a switch in the
line to disable it when I want. If I wanted a fail-safe means of
ensuring that it went back on when the ignition went to position 0, I
suppose I could rig up a relay mechanism, but that would burn the
battery up faster and would probably be overkill... ;-)

Where the heck is the buzzer? And anyone know of a source for very low
power relays, in case I go nuts?