Thanks everyone. Your input is appreciated.
Let me clarify this a little. The idea of the square mile means several corn fields of 40-100 acres interspersed with wood lots, small creeks and tiny ponds, and grassy waterways. Light setting on corner trails, prebait sites, etc would be 2-6 traps. Heavy setting the area for a week to 10-days could mean 50 or more. This could be called carpet bombing, I suppose. In this scenario I’ll have permission from all land owners. But I know there are adjoining 1-mile tracts where my permissions are already limited. Thus, recharge of the trapped area will take place.
I know the middle of those corn fields hold little for attraction compared to the edges. I suspect a family of coon working one area of a 40-100 acre field isn’t going to be the only family working it. I found an 8 acre cornfield, surrounded on 2 sides with wood lots and a wooded drainage area that produced a pile of coon last fall. Based on size, I doubt they were from the same family.
I'm still going to say if you are after numbers, you will catch more raccoons spread out over a number of stops rather than "carpet bombing," one square mile. You mention up to 50 or more traps. No offense but even in the densest coon country in the United States I think you'd be hard pressed to kill 25 coons per square mile over night. Over a season maybe, but you're wasting your time with traps sitting empty over time.
Now say you set those 50 traps on 25 locations. Most of the time a 50% average isn't out of line on a first night catch. That's 25 coons on the first night. There's just no way you're going to catch those same 25 coons on 1 square mile of farm ground/woods/cornfield etc consistently. If you want to trap one location all season and catch 50-100 coons as you wait for new coons to move in go at it, but if I'm looking at numbers/productivity/cost/time I'd be setting multiple locations over a shorter time frame to put up numbers.