That's what I was afraid of. It seems chickens need a little more room, but can stay confined more. Ducks can have smaller houses/coops but need a lot more space. I was just hoping having a small number would work for me. The closest tree is three houses away, so there's no shade at all. The only shade would be the roofer over the coop/run.
It looks like I either have to fix the sogginess to house chickens, or figure out a way to fence off the dogs to give the ducks half the yard. Are you saying that I could have the run/coop and leave them out with 3.5 to 4 foot tall fences on each side? I have only seen hawks flying in the neighborhood a few times. In the past 18 years, I've seen one opossum, zero snakes and 3 mice and a few hawks.
I appreciate everyone's help.