I did Shitake one year, but the only shady spot I had was where the runoff from the yard went. Mud splashed on the logs and competing mushrooms colonized the logs. (Turkey Tail.)
At the same time I tried oyster mushrooms; They did not work either, but the next year I had some in oyster mushrooms growing out of ground in the area of some Pine trees the city removed.
I hope it works for you!
I did shiitake once before but started late and gave up too soon. I didn’t realize at the time that you could get multiple years out of the logs. I happened to stick two of them on the back bumper of a camper trailer and that end faced North so they were shaded. A few months went by and they started producing. I didn’t do enough research that first time. There’s more information out there these days too.
I’ve got a valley on my property that’s pretty well shaded and tends to stay moister but I’ll probably still need some shade cloth or similar. I’ve got a roll of window screen that might do the trick. My little valley is far away from a water or electric source so things will have to be moved. Bring the logs up to drill and inoculate, then bring back to the woods and then bring a tank of water down there as needed for soaking/misting.
To make them fruit, you’re supposed to use cold water so I can’t leave a tank down there for that but I can for keeping them moist. I’ll have to bring some cold water down or bring a few logs up to do the cold water soak. Probably the latter and just make s spot up here where 2-3 can fruit. Our little house is up on poles, pole barn style. Underneath it would probably be great for that.