Hey Debby,
I had a similar experience when I was starting warfarin, though I was technically within range some of that time, I was at the ragged bottom edge of it, and dropping out. I was constantly begging the docs to give me a higher dose(They had been creeping up, first 2, then 3 then 5 mg daily, then adding an extra 1mg every second day etc.) , and not to vary it, since I find it simply absurd to take wildly different doses of a medication and not expect swings in both the concentrations of it, and in it's effect and efficacy.
I ended up settled for about a year on a dose of 9mg daily, which then increased to 10, and finally 11 during year two. Since then, I've been stable and in range on an 11mg daily dose for three years.
Back at the beginning, the difficulty in getting the managers to do their job the way I'd have liked them to (they ultimately control what prescriptions I get) was what led me to get a meter, and find a compliant physician who trusted me to decide for myself, and will write me whatever prescription I deem necessary (only for warfarin!).
I know that it is frustrating, and a little frightening, but persistence will pay off, and so will self advocacy. You'll get there!
P