Well here are some facts of what I've seen. A coyote will choose cover over open area's 9 out of 10 times, to bed. Whether that cover is a snow drift, hillside, timber patch, slough/waterway, or a dip in between corn rows...whatever.
Why? well one reason is to cut the wind off of their body.
When bedded, they often will bed on the side of a hill [or high area] as compared, to laying down low in a draw, ravine, creek bed or valley.
They also prefer to have a panoramic view of their down-wind. Even on a day with the slightest breeze. They will be facing a down-wind direction. Same go's for Red Fox.
A caller that comes into a cover area[timber for example] from the down-wind side. Stands a good chance of any coyote in that cover. Seeing him, long before the hunter sees the coyote.....game over.
Coyote's when bedded, most often are panning around. I estimate probably in the 90% range....panning/looking a down-wind direction. A nomad/tresspasser coyote, will often pan 360 degrees constantly. Never actually sleeping, but "resting". They are more highly alert, over the local coyotes.
Even when a coyote is "sleeping" they do so lightly. Often when their head is tucked in[balled-up]. They still often have their eye's open. I've seen all of the above, many hundreds of times over my yrs. Another fact is, their ears are always in the "on" position.
