I had someone else mention using the concrete while still in the bags. I'm sure some kind of 'rod' would be required to hold against the pressure of the water. Would you put anything under the bags of concrete? Small gravel, some kind of liner?
I like the idea of having the 'bowl' but I'm afraid there just isn't enough room. If it would stop raining I would get a picture for you.
Another idea: would it be simpler/safer to go to the rice well company and get a 5 or 6 foot length of pipe to fit over the mouth of the existing pipe and extend past the drop off point?