Travel insurance-EU moms

Sa

I am a UK permanent resident, US citizen. I’ll be traveling home to New York from weeks 27-29. I’m healthy, low risk, cleared to travel. I do need to buy travel insurance and I’m looking at ones that cover you up to 32 weeks, most stop after 26 weeks. I’ve called a few and have asked specific questions, main one being if I have an unexpected birth will you cover me and the baby until we are out of the hospital? I am feeling confident I’ve found a few that cover unplanned birth at that point, but wondering if anyone has specific companies they can recommend. Thank you!