Im not too sure about your hospital but if it is a public hospital they have to take you. As a public patient it is the law, if not they have refer you on to a hospital that can. Many hospitals have a midwife run program that often fills quick as there are limited places, they also have a maternity ward were you can birth. The difference is in the midwife program you will only see a midwife for check ups while pregnant and will deliver with a midwife, as long as you are considered low risk. If you are considered high risk you will have to go through the main maternity ward of a hospital.

Other options besides an OB can include a private midwife, they often do homebirths but many also attend a hospital birth so even if you just rick up to a hospital in labour your private midwife is at least someone who knows you, but the do cost a bit as most health insurance companies don't pay out on them and neither does Medicare.

Might be worth looking at any other hospitals near by or checking out the Maternity Coalition in your area. I hope you can sort it out soon, it can be very stressing.