Unless you have a high water table all over, digging trenches after building might work since there is lower ground nearby(the creek) to drain into.View attachment 1684164
So a picture might help since I just got the lumber for the coop today. Area I'm thinning about is roughly between the pitchfork and shovel. Maybe a little further left.
Hard to see in the picture, but the ground slopes both right to left and front to back towards the creek. I'm thinking of putting the coop itself on the right side, which is admittedly wetter, but let's me have more of the run on the higher dryer spots.
I'm going to tilt all the roofs towards the creek since it already slope that way, it should help keep the majority of falling water out of the direct area.