- domestic violence
- neglect/abuse of current children
- excessive alcohol/drug use
Its disgusting the things I see, and OP you are nowhere near that criteria.
If you were still living 800km away then it'd be a different story.
The fact they've got a midwife on duty is awesome, so they should be prepared for a normal delivery if needed and the midwife would be trained in resuscitation of the baby if needed and they'd be able to manage a small/mod pph until they got you transferred.
38 weeks sounds reasonable to go the next town, if anything happens before you move, just present early to your local hospital so they have time to transfer you if needed.
No worries mate!!