Thanks for the suggestions but it lets in rain because the wind blows rain up under the roof overhang. One of those pop-up things would end up in the sea during the first storm here no matter how deep the legs were buried and tarp would just get shredded.
The wind means a lot of things have to be done differently here.
If you can set something up sheltered from the prevailing winds (most common direction, coldest winds) by something solid like a stone wall on 2 sides (maybe more diamond shaped so wind splits to either side)....
playing with ideas....wind diversions....so basically build a maze with the coop in the middle. Wouldn't have to be a full maze, just set the walls across the opening in the next layer. Granted, more long term project, but could be upgraded to more durable and/or planted with trees/shrubs.
Doesn't help much with coop NOW unless there is a semi-sheltered location to START with, then build the windbreaks off of that.
In settling the Great Plains (Northern Mississippi River, Missouri River areas), people planted wind breaks 3-5 rows wide around the house and barn area. My brother's in-laws have 1 with the outermost a double row of berry type bushes, a double...or triple row (offset from each other) of deciduous trees with the inner most a double row of evergreen spruce trees. The windbreak wrapped 3 sides of the house/yard/barns area with a corn field on the 4th. The whole of the Plains gets wind incessantly, from any direction, and winter winds sweep down from the arctic circle. Northern winds are critical to break up. Summer/fall can get winds out of the southwest or northwest or anywhere in-between. East winds are rare, so that direction is rarely blocked.
Another thing to note. Completely enclosed creates more wind resistance which causes more damage in high winds. The idea is to separate and break up the winds so it's not as strong while still allowing it through. From the sounds of things, your place gets wind from all directions. That's why I'm thinking fully enclose the coop area with open ended walls. The wind has to change direction so much getting through that it loses much of the bite.
Long-term building project, start with the innermost walls, and if you've got a region where 2 stone walls come together, start there and build out.
Edit:
For that batter, building a baffles at the door would also help. Inside or outside doesn't really matter, but run some sort of blockage across that too.