Welcome to the forum!
If you run the water over some bio-balls or something like that, and get it bouncing pretty well, it will aerate itself. Cecil has a pretty good system using three 5 gallon buckets and running the water from one bucket to another. I think if you ask him nicely he will post a pic and a how-to.
Talk with the well driller and see if he can put two lengths of screen on the end of the 4" casing. It will allow more water to flow, and the screen will last longer. Any idea of how many gallons of water a minute the proposed well will flow?
