Jumping in from Feb DDC to share my experience:
I have a CPM, and am planning a homebirth -- my CPM doesnt do any of those tests or US but I know she can help me get them if I choose or want. Her approach is that all tests and Ultrasounds are my choice, not some automatic thing she will order, so when the time for each one comes up, she'll discuss it with me, give me some of the pros/cons/evidence (if any) for why its good or inconclusive and let me make the choice. If I want them, I will have to go to a lab to have the tests done, and she said my insurance will usually cover those types of things.
My friend is under the care of a wonderful CNM (under an OB) and she has not had/needed any tests or Ultrasounds at all -- her midwife just doesnt do them unless there is a medical reason to suspect something is really wrong. If she had really wanted one though, I am positive she could have pushed and gotten one had she really been uncomfortable with the idea of never having one.
Its probably a good sign that your midwife doeasnt do them automatically, but if you share your past experience and the reason why you feel you really want to have one, I would think she should/might be able to help you arrange for it and your insurance should cover it.
Mama to Charlotte (2/14/07) and Julian (11/27/10) both born at home.