S.C.
I had my kiddo at medical city & had to threaten them with legal action if they didn't leave the baby with me in recovery (husband actually had to snatch baby out of nurse's hands.). So ... unless you want to argue I wouldn't recommend there.
My sis had hers at presby Dallas, and she got her baby for an hour immediately after c-section. Plus she got to have 2 people in with her for her section. Not sure who her md was, tho.
Good luck with whatever you choose!