I have been hunting rabbits for about 30 years, I have tried most legal methods, my Dad was a bow hunter before they banned it and taught me ferretting, shooting, netting, snares. I also did a couple of trials with a bloke doing long netting.
Out of the various methods of rabbit control I have used the least inhumane have been ferreting and shooting. When they go wrong (which they will at some point), you have an injured animal, at least with ferreting you can kill it quickly once you have your hands on it. Shooting, if your lucky you will recover it , if your unlucky it will end up lost and slowly dying. Its not nice, but its what happens when you eat meat.
Netting on the other hand can be good but takes a lot of kit, and ideally you need a dog and a couple of people.
https://www.youtube.com/watch?v=zGyITPg0I_A
Can be done at night and you walk the field in.
I think snares are pretty misunderstood, check frequently, and carefully they are humane. Rabbits tend not to struggle once in a snare, its not designed to kill only hold. When you collect you need to be proficient and killing them, I prefer the stretch technique to using a priest.
To be brutally honest I have seen more badly shot animals than injured through any other form of hunting. If your shooting rabbits at some point you will mess up a shot and have to sort it out. On the flip side the positives of a unfarmed life and the high number of clean kills off set it for me. Have you ever hunted? Might be worth trying a days rabbit control with somebody if possible. Don't go out and buy an air rifle, you need to be fully clued up on safety and the legalities, then learn to shoot, then learn to hunt. Personally its worth it for me, just don't go in to it with rose tinted glasses,