That combination is hard to find.
The closest camera is the Casio Z55,
which has a shutter lag of only 0.1 second and
a price tag of around $300.
And it takes great photos too:
I'm looking for advice in relation to purchasing a digital camera. I previously had one, but found the lag time between pressing the button and when the picture actually took, far too frustrating and returned to using my normal camera.
Now however I am planning to travel the world for several months so will really need a digital. I need one that dosn't require too much technical knowledge or experience - basically one that you can just point and shoot without worrying too much about settings. So, a good automatic setting is probably a top priority. Second only to a quick time lapse between pressing the shutter and taking a photo - the shorter the better! A large view screen would be optimal and good print out quality for photos.
ON top of all these requirements, my plane tickets have seriously eaten into the camera budget so the cheaper the better!!
Any help would be seriously appreciated!