To me, stress-free block piecing is making log cabin blocks. They don't have to take a whole lot of thought if you don't want them to. Sounds like just what I needed recently while making the custom queen-sized 30s Barn Raising quilt. I always have several projects going at once, and these are some blocks I have worked on over the last week or so. They are jumbo sized at 16" square.
You can read HERE about additional layout options I made and which one my daughter chose!