This is not quite the same but we are very pleased with the result. A neighbour with land which is at a slightly lower level to ours, complained that our land drained onto his and that we should 'sort out our drainage'. Well, water being water and all that, the only place it has to go is onto his land. Before there was a road, it would have drained way on down the hill to the river, but the road now blocks that and has done so for centuries. I tried to explain that water flows downhill (although in some places such as Scotland it seems to flow uphill too) but he didn't see that.
Our solution, without having to dig big trenches everywhere, and still have our water draining down onto his land, was to create Soggy Bottom. We fenced off the area and planted it up with water-using trees such as Alder and Willow, with damp loving wildflowers in there too. Already, just a year or so later, the water no longer drains onto his land but is happily helping our little wet corner to thrive and be beautiful. It also is a refuge for hares, yellow hammers and other ground nesting birds, and a hunting ground for kestrels. We have created a new boggy habitat
There hasn't been a single comment from next door.
So maybe Aggies you could just give in to the inevitable and create your own Soggy Bottom. Move the old turkey house to a drier spot, plant up the area with Alder, Willow, maybe Hornbeam, plus damp loving wildflowers, and be pleased whenever it rains and your watering is done for you