Work trip at 36 weeks

Ugh. So we're due on March 23rd. We agreed that I can't travel from March 1st, "to be safe". Low and behold, I get a lucrative contract to work on the other side of the country in the 36th week of pregnancy (Feb 24-28). I accepted and the wheels are in motion.

Then I started Googling. Now I'm feeling anxious AF that I'm going to potentially miss the birth of our child. How fucked am I?

Going to ask our doctor the same question tomorrow, but need some input meanwhile 😬

Background: 36 year old petite mom, first kid, uncomplicated pregnancy..

[Edit to add detail: I work in development in Africa and will be a 7-hour drive from the nearest airport, followed by a 2-hour flight home (no flights after 9pm), 30 min from airport to hospital].