Another simple option that will kill birds near and far is to use Hevi/Heavyweight/Tungsten type shot, waterfowl loads with #2 pellets, and body shoot them.
In other words, use goose guns/loads. It may not be pretty, but it works.
That used to be common with lead #2s. I imagine tungsten #2s would kill further than I'm willing to shoot one.
Honestly, I'm not allowed to hold too far down. My wife will call me out to where she is cleaning the bird and make derogatory speculations about my manhood if she finds too many pellets in the breast. Here lately, I have taken to aiming a middling load Heavy #7s at the eyeball.
