Ruthla, I could be way off, but this is what I'm hearing (and NOT judging, hear me out):
The med. establishment taught these dr's. They teach that proactive health care includes one full body exam per year, and regular vaccinations. You have rejected vaccinations, and now are rejecting big parts of the physical exam. They are most likely feeling that you are not helping them to foster a relationship of trust w/your children, who are rapidly becoming adult-like in their physical selves. They are not able to make health care decisions for themselves, but they are becoming young women who will need to care for their changing bodies in ways different from their childhood bodies. To dr's that includes dealing with external genital exams, pelvic exams (which are recommended from the time a girl begins menses) and breast exams.
To this dr. (more likely, rather than the entire practice) it is disrespectful and you are contributing to your daughters' inability to properly care for themselves.
Now I asked you to hear me out because I have made the SAME choices w/my dd (9yo). She didn't want to show her private parts to her dr. and the dr. said she didn't have to, she used her fingers and felt the nodes in her groin and while she was there she kind of gently rubbed the pubis to make sure that it wasn't unduly sore. She did not check her breasts at 9, but my guess is that if she is developing them at 11 or 12 she will do that. I try to back off and let my dd guide the discussion/experience, but I do back her up. We have not vaxxed. It took us several ped/fp practices to find one that seems, like this one was for you, at least open to our choices. The dr. we use now is a DO - which is a type of MD that is somewhat more whole-body than your normal MD. She asks what dd is reading, what sports she is doing, whether she enjoys this or that etc. She is terrific! If they asked us to leave, I'd be devestated! So I can really relate to your issue!
My guess: there is probably a clinic in your area you can use and develop a relationship with. We have one here (we're just south of Albany), and we've gone a couple times, so they now have us on file. That's usually enough to be able to use them on an irregular basis. They can do physicals for school, and deal with prescribing for strep, etc. They are not specifically part of our plan, but they are very low cost, because they are a clinic, not a practice. Maybe there is something like that for you, at least temporarily.
Secondly, if there is a different dr. at the old practice that you did have some kind of rapport with, call and make an appt. to see them. Talk this out, if you can. If you can't, then I think you WILL have to start making phone calls! I'm so sorry. If there is no backtracking, then start thinking about the amazing new practice you will find that works for EVERYONE (you, dd's, hmo, etc.)! They are out there for you, just make it happen powerful mama!
I hope it resolves in the best possible way for you all!