I checked https://www.google.com/search?q=2000+dodge+neon+stalling&gl=US before I replied because... I want to know that I'm adding a new idea and not repeating what you can find on your own.

I see some of the same causes I would mention. Try a few of those and dismiss what you know it's not. Be sure to get the OBD readings since they can point you to known troubles with your car.