you can't kill off all the coyotes in the area or you will end up with alot more rodents than you want to see and diseases that they carry. In my area we have seen an increase in mice and rats in the fields since people went crazy killing coyotes over the past 3 years. I would rather see a few coyotes than a bunch of mice an rats.
Update... Went out today for about a hour and a half... PLENTY of crows and shot opportunities... I fired 15 rounds and came away with 3 crows.... I suck.