I am working on a quilt right now that I did the same thing. I had, well not exactly ugly fabric, but something I didn't think I'd use. It was probably 20 years old. But I just had to try, and ended up falling in love with the blocks. You can make them any size you want. From 4 sections to 8, even more if you want to cut them that small. When I sewed mine together, I made sure the seams all went in the same circular direction. The very center won't be that bulky that way. I didn't chain mine. Even though I do that alot in other quilts. I think it might get a bit confusing. So I just did one at a time. And I've found that I don't think that there is any fabric to ugle to do this. It still turns out very pretty.
Once I did my stack and whack's I ended up trying other things with this quilt I hadn't done before. So my "just playing" is turning out to be a really neat, very pretty quilt. So I can't wait to get it done.