[4runnerman]

Edit: While I'm thinking about it, would a 4-12x scope be enough? Or do I need something like 4-16x or even 6-24x?

I run a 10-40 x 50 on mine,but i bench shoot.This would be a poor choice for a hunting scope. Although you can back it off to 10 power. I agree with other post,The bigger you can make your bullseye the tighter your groups will be.
My bullseye at 300 yards is a pencil diamater.