I´ve been tagging along with friends for a few crow huntsand that was great fun.
They sure have sharp eyes and the need to hide is vital. We used a fake owl with a dead crow attached to it with the wings broken and moving in the wind. It was fixed on a pole that was raised a few meters over threetops.Then we called when we heard crows or every now and then. The crows became very aggitated and swooped at the owl and that offered the chance to shoot. The guys I was with said that weather was a big factor. Cloudy mild weathermade for less crows but more of them went for the owl. These were mostly migratory crows that followed their natural flightpath. Rumour has it that if you shoot one of a pair of crows, the other one will still protect their habitat from other crows but consequently not bring new crows to this world.
Hear of others who prefer rifle shooting, that place a number of feeding places around them and sit at a distance of perhaps 100 meters or so.
Trapping them is more common here but thats more of a pest control effort or getting game to use when training retrievers.
Hope you have a good time and let the forum know of your progress.