My old Fuji 2400 fits that bill. Extremely low noise compared to modern SLR digitals, way better than the EOS and Nikons for example. And for webwork even 2.4Mp is overkill. The negatives are the shitty postage stamp rear LCD and the fact that you have to use point and squint technology and it uses Smartmedia which is limited in capacity anf getting difficult to find.
I still keep it in the car, jsut in case I need to take a photo of something.