While taking a sampler class I got quite zealous and made many blocks. I pieced 2 that I wasn't fond of. One I gave to the instructor as she stated that she could use it in future classes as an example (she liked it). The other, a dresden plate, didn't seem to lay flat so I didn't use it in my quilt. I made a lap quilt with all my extra blocks (I did mention that I got zealous...I pieced ~40 blocks during that class). When I made that lap quilt, I decided to use the dresden plate and when sewn into a quilt, it was perfect!
I can understand the need to be rid of a thorn in your side.