It took some doing, but I think I finally got my hat layout where I can post it...!
I haven't perfected getting the sizes of half square triangles, etc, perfect, so I made them slightly oversized and then cut them down.
Where it says "small triangles for edge of hat brim"... I used some of my scrap and, after the main part of the cowboy hat was finished, I sewed the piece of scrap on at an angle to match that of the upper angle of the brim. Then I pressed it flat and trimmed it.
Each square is 1", and in my cut sized, I accounted for a 1/4" seam allowance. Double check before cutting though, just in case I missed the allowance somewhere. I wasn't able to shade all the background fabric, but it should be pretty obvious what is hat and what is background.
Hope you can make sense of it!
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If paper piecing is preferred, it would be pretty easy to set it up for paper piecing as well.