How do I bind SS crochet pieces?

You could just whip stitch the pieces together with yarn needle and the same color yarn you are using. Lay flat, line the pieces up and put a stitch in each row. Or hold with wrong sides together and stitch through both pieces that way and lay flat when finished. The yarn should give a little. Weave the ends in and no one (but you) will know! Then you should be able to continue single crocheting the entire length.