Hi OP
Firstly do remember that anecdotes are just that, do your research and consider the actual data from reputable studies.
When I was doing my research I found the RCOG information helpful: www.rcog.org.uk/en/patients/patient-leaflets/shoulder-dystocia/
I also advise you to request a meeting with the consultant midwife to discuss your options, prepare any questions you have before the meeting and see what she says.
This should help you to make an informed decision and feel ok about whatever you decide.
FWIW this is what happened to me (but note what I said that it's just my experience):
DC1 born at 41+4, 9lb4, vaginal delivery with mild shoulder dystocia that was quickly and easily resolved. I went into labour naturally, it was a stressful labour with an unsupportive midwife who insisted I stay on my back on the bed, baby got partially (not completely stuck) so emergency button was pressed, obstetrician did the McRoberts manoeuvre I think it's called? And it worked. So they got baby out without having to use forceps or ventouse. I had already had an episiotomy, if I hadn't I think I probably would've had a tear. I was very sore indeed afterwards, not sure if it was the episiotomy or the shoulder dystocia or both. But baby was completely fine.
I will never know for sure but I am convinced that DC1 only got stuck because I was forced to lie on my back, which was not what I wanted and is not an optimum position for opening the pelvis.
When I was pregnant with DC2 they offered me a scan to estimate her size, she was measuring big which was unsurprising given DC1's birth weight. They were concerned the risk of shoulder dystocia but after discussing it with the consultant obstetrician and consultant midwife, who answered my questions, I decided to aim for another vaginal birth.
DC2 was born at 40+1, weighing 9lb1, vaginal birth with no issues whatsoever. She was actually born at home, it was very fast and the midwife arrived in the nick of time! Recovery was much better, I had a tear but it was much less sore and healed quicker.