To be honest, I don't know that you even need a WIN card. It's technically not hunting if they are pests (like gophers).
If you're a resident, and you're on land that you have access to, I wouldn't worry about it. Just be safe!
Especially with coyote hunting (if you're driving a lot), there are lots of times where it would be 'easier' to keep a loaded gun in the truck - don't do it. AND don't shoot on land where you don't have permission. Make sure it's crown land or someone you've talked to.
Sorry, I've just hunted a LOT of Alberta backroads, and you always run into idiots trespassing or doing stupid things - make sure you're safe and legal, and you'll have a blast!