The best way to avoid shooting someone you can't see - don't take the shot if you are not POSITIVE what is beyond the target.
Some guys use a shotgun and 00, since it won't carry as far through the woods....
Yes, hunting east of the mountains is easier, in that the forest isn't as thick, but I'd bet good money the coyote population is heavier on the wet side - you have to work more to get them is all.