have you thought about a birth centre? it's not a home birth but the one i've gotten into seems as close. they do water birthing, non-intervention, midwife-led stuff... we can even birth out in our private garden under the stars if we want (and yes it's a public hospital). YOu are supposed to go home 4 hours post birth, but i'm pretty sure if you aren't ready etc you can get transfered to the maternity ward.

Maybe something similar in your area. best of luck