I didn't have a show with either of mine. With DD, there was some after my waters broke.

My OB said something similar with both of mine. With DD, she did a S&S on my due date & said I was already 2cms dialated. DD didn't come for another 7 days. I don't mean to scare you as you could just as easily go tomorrow, just saying, don't get your hopes up.

Have you tried acupuncture to encourage labour to start? I did with DD & noticed an increase in BH but it didn't end up progressing.