I want to be able to keep the key in the ignition and have the door open and the bell not go off

Look at the body control module. It controls the chimes.

Assuming the warning is for the key in the ignition, the problem could be the sensor inside the steering lock cylinder.

Must be a DOOR OPEN Bell .

the chime is burned out or the door jamb switch not sending a signal to the module wire break inside the boot that cover the wires between the door and body

if the dinger is going crazy. just remove it. on most vehicles its underneath the dash on drivers side. that will fix it !

Replace the ignition switch or take to a dealer they may be able to repair the switch.

I'm assuming that the key is removed from the ignition and it's still chiming..
Take some lock lube spray and spray a bit in your ignition key slot. Then take the key and insert it in and out a few times. This may release a stuck contact in the ign. switch.
The chime will also sound if the lights are left on...worth a check too.
These are cheap fix/checks...hope they help.
k

Section 13-09: Gauges, Warning Devices — Chime System 1996 Windstar Workshop Manual
DESCRIPTION AND OPERATION Warning Chime Systems Three distinct sounds are used to indicate the area of concern. Seat belt warning generates 1 chime per second
key-in-ignition generates 2 chimes per second
headlight on generates 4 chimes per second.
Key-In-Ignition Warning The key-in-ignition warning will sound when the driver's front door (20125) is opened with the key in the ignition switch. It will continue to sound until the key is removed, the front door is closed, the ignition switch is turned to START or the vehicle speed is over 24 kmh (15 mph).

Safety Belt Warning When the ignition switch is turned to RUN or START from OFF or ACC, the chime will sound for six seconds or until the safety belt is buckled.

• The safety belt warning indicator lamp (10C859) will activate for 60 seconds or until the driver's safety belt is fastened. Both the chime and lamp activate at the same time.

Anytime the ignition switch is released from START and returns to RUN while the safety belt lamp or chime is activated, the safety belt warning lamp or chime will remain activated until either the timing sequence has been executed, or the safety belt is buckled.

Headlamp Switch On Warning The chime will be activated if the headlamps or parking lamps are ON, the key is not in the ignition and the driver's door is opened. The chime will sound at a rate of four per second.

the shift interlock fuse may be blown. check your fuse panel.

the switch that shuts off the dome light and chime is part of the door latch and is broken