Its not too close to you but I had my 1st son at Rush copley with midwife Karen Barr and she was great.
I had an all natural waterbirth, did limited fetal monitoring, no IV's, they have a large shower in the room you can labor in, birthing ball/bar, lots of stuff to help with natural birth.
My baby never left my side, did not get a bath, and we refused all newborn stuff (except PKU) with absolutely no problem.
We stayed our mandatory 24 hrs then left with no problems.
I had a homebirth with my 2nd birth with no insurance. I used an underground midwife and she charged me $2000 plus $40 for each prenatal visit, which was only once a month. We did urine samples to check for protein & finger pricks to check for iron, but no glucose test or HIV test.
Also, you may want to hire a doula to get the birth you want while in a hospital setting, especially since you seem to have limited options.