Ask your DAME or just ring around a few well known ones. Best thing is to get the specialist requirement list from AvMed so from day one your doctor knows what reports they are looking for. AvMed just tend to put out a dot point list of what they want to see, leave it up to your doctors to fill in the blanks, at your cost. I'm about to switch one of my specialists, they are good, but their company takes 2 months to write a report.
PS If you haven't been speaking to AvMed about your condition then depending on what it is they could ground you, but if that's the case its probably better you get it over and done with and deal with the situation rather than it come up in a situation not of your choosing.