Welcome! Good to see another face from my DDC
Have you read any books or taken classes? I've had 2 successful NCBs (first at hospital, second at home) and will be having this baby at the hospital again. I really recommend researching as much as possible, asking us all questions you may have, etc.
Violet was face first, which is a bit different from face up and I didn't have back labor, but she was stuck for a few hours. There are some positions you can sit in,etc to reduce the chances of sunny side up positioning.
This site has some tips on rotating baby to face down position (things like pelvic rocking, etc):
Posterior Labor- A Pain In The Back! - FROM RONNIE Falcão's MIDWIFE ARCHIVES