Relocation for me is an act of futility where I live. I have a forrest full of them. All I can do is stand my ground.
I feel bad when I have to kill something. Where I live is farm and livestock country. The local farmers around here were born and raised to hunt for food and protect their livestock. Some of my local friends were raised on hunting racoon to put meet on the table. I moved here from L.A. and while I am a carnivour, I don't have that bread into me. But, I will do what I have to do.
You are making no more head way on the numbers by killing them than taking them down the road in open...maybe state/federal.... land and releasing them. While we have a basis for killing them it should be done very selectively.
We must prepare the secure housing for our birds realizing the following:
They are sly
They are excellent parental providers
They are opportunist
They are cunning
They are determined
They can be vicious
They are strong for their size
They are disciplined
They are killers
They are vigilant
They are relatively fearless
They are innovative
They are very creative
They are known to be rabid, often.
They must eat also and do not know that anything is ......off limits
They are nocturnal but, are often seen carousing during the day time.
They DO NOT make good pets ( I tried decades ago and was very sorry for the effort)
They are cute as heck
etc.
As a young boy I and my 1/2 shepherd/1/2 collie dog often ran raccoons in fall and winter. I would never allow him to get near/attack one because they can kill a dog...in a NY heart beat.
While God gives us dominion over His creations dispatching them should be done, rarely.
You get the idea of my thought.
We reside 150+- miles east of you in western Ky. Your problems are our problems alike. (Also, we have had to deal with eastern diamond backs and baby birds).
We have secure fencing and night housing but we also set live traps 2/3 x's a week in our yards at night.
That is our procedure to raise birds in our area with our predator challenges. Our secure /protective methods have saved a number of birds, I am sure.