There was a well known coyote hunter from Baker city, I believe his name was Phil Simonski, he wrote a book about coyote hunting in that area.
There are a number of coyotes through there, I usually see at least one as I travel through there, I used to run a semi from Seattle to Twin Falls.
It is pretty much like hunting coyotes anywhere else in the west, find public land and there are a lot around there or knock on doors to find private lands.
I got to talk to him at the Seattle sportsmans show and have a signed copy of his book.
Good luck
AWS