I'm in the pin it to death kinda person. Since I do a ton of miniatures, for me, what works is to change the stitch length on the machine to a larger stitch, and string piece the pinned blocks. Once they're all sewn, open them up and check for matching seams. Put the ones that match in one pile, and the ones that are off in a different pile and re-sew. When you're happy with the way they are, change the stitch length back to a smaller stitch and sew. Press and you should be good.
It is a bit more work, but IMHO totally worth it in the end.