Just so you know. I was cruel to my mother & I got 'stuck'. Don't know the datails, should ask I guess, but she was taken to the next hospital 60 kms away so they could use forceps & I'm fine.
(Well a bit quirky, but fine!!)
I have no idea how it worked or what stage she was at when transferred, but I made the trip no problems & was perfectly healthy born.

Go with what you are comfortable with. You can & will do this.
Good luck.