Hello, green. I've come after getting your FB message. I've been quiet on this topic because I don't know what I would do or what I would suggest. I've tried to find some trustworthy links though which might help you, although you've probably had a look already:
The RCOG patient information leaflet:
www.rcog.org.uk/files/rcog-corp/A%20Difficult%20Birth%20-%20What%20is%20Shoulder%20Dystocia.pdf
The RCOG guideline for doctors & midwives
www.rcog.org.uk/files/rcog-corp/GTG%2042_Shoulder%20dystocia%202nd%20edition%202012.pdf
They really sit on the fence:
5.2 What are the recommendations for future pregnancy?
What is the appropriate mode of delivery for the woman with a previous episode of shoulder dystocia?
Either caesarean section or vaginal delivery can be appropriate after a previous shoulder dystocia. The decision should be made jointly by the woman and her carers. The rate of shoulder dystocia in women who have had a previous shoulder dystocia has been reported to be 10 times higher than the rate in the general population.
There is a reported recurrence rate of shoulder dystocia of between 1% and 25%. However, this may be an underestimate owing to selection bias, as caesarean section might have been advocated for pregnancies after severe shoulder dystocia, particularly with a neonatal poor outcome.
There is no requirement to recommend elective caesarean birth routinely but factors such as the severity of any previous neonatal or maternal injury, predicted fetal size and maternal choice should all be considered and discussed with the woman and her family when making plans for the next delivery.