Just a note about calling crows. Know your crow vocalizations. Different numbers of caws, spaced at various intervals mean everything from "come here" to "Danger Fly Away!"
Do it wrong and your attempts to call them in can scare them off.
I will shoot one if I can get it in the sights of my .17 HMR, never gone out calling them and tried to take one with a shotgun though. Probably a lot of fun.