My husband's insurance rate sky rocketed Also and we had to drop the insurance. Luckily we found out that I would approve for a type of pregnancy Medicaid called kancare. I live in Kansas. It took a couple weeks to be approved but they cover for me back a few months. This all happened last week at almost 35 weeks. I would jump on getting state insurance they cover you 100% and believe me it's a huge weight off your shoulders.
My Dr said she would induce me because my new deductible is going to start over and it will save us a ton of money if we have our baby in March instead of the first week of April. We decided against it but, in your case ask I am sure they will induce you!!!
Depending on where you live. In MN we have MN care and it's for people who are in this situation. I would look into and state insurance coverage.
They used to have a type of medicaid you could get for pregnancy. Usually the whole pregnancy is billed through insurance at the end, so you could end up with a higher bill than you think. Can you do a cobra type thing for the month? I would look into different insurance options.
*Lots of little spelling errors, to many to fix! Stupid auto correct!