Come to Canada to have the baby. Pretend like you were on vacation and then you "suddenly" went into labour. You will get into a hospital right away.
Since you aren't Canadian, you will have to pay, BUT you can go to the newspapers and say that you are a poor American without health insurance and this was the only way to prevent your baby being born in a bathroom stall at Wal-Mart. Hundreds of people will step forward to donate money and toys.