When you go into GHC, they'll have you do an intake appointment with Joan Young. Joan will give you basically a super long lecture about what GHC does and doesn't offer for you. She'll likely recommend that you see Dr. Bull or Dr. Vohmann, who she will say are more homebirth friendly. Other moms on the local homebirth yahoo group who've worked with those doctors have shared that they didn't have the best experiences with these docs, and felt that they weren't as HB friendly as they'd wished. I met with Dr Bull and my experience was less than ideal. I've also recently heard that they aren't accepting new clients anyway.
The GHC doc that I HAVE heard good things about from homebirthers is Dr Michelle Thomas at GHC's Capitol Clinic. Maybe check her out?
If you'd like to talk more about navigating GHC's care you can PM me. I had GHC during my pregnancy up until a little while after my son was born.
Oh, and I've heard completely awesome things about Leah Hatcher. I am sure you'll have a great experience with her!