My girlfriend had shoulder dystocia with both of her bubs. First one was in hospital, and ob pulled him out and dislocated his little collarbone at the same time. Poor little mite was bruised for weeks. Second bub was a home waterbirth, and she'd told her IM about her previous shoulder dystocia. When bub got stuck, IM literally used 2 fingers to rotate him ever so slightly, and she reckons he just about fell out 2nd bub was much bigger than the first as well, 8 pound v 10 pound I believe.

My point is, maybe you could try and find an ob or IM that is well versed in shoulder dystocia, and it shouldn't be a problem for you