Hemochromatosis Support Group
Hemochromatosis is a hereditary disease characterized by improper processing by the body of dietary iron which causes iron to accumulate in a number of body tissues, eventually causing organ dysfunction. It is the main iron overload disorder. Hemochromatosis is notorious for having symptoms that are often initially misattributed to other diseases.
Here's a pdf on iron avidity, which is a little different than your situation because your tsat is low too, but may have some good info for you on the risks of lowering ferritin under 20.
http://www.irondisorders.org/Websites/idi/files/Content/1050668/IronAvid-all.pdf
According to the Hemochromatosis Cookbook, the Iron Disorders Institute recommends increasing red meat consumption to bring depleted iron back into balance. Do you take vitamins? B12 and folic acid are important for helping your body make adequate red blood cells, which can increase your energy levels and help you feel better. B12 is generally considered safe in larger doses, so you could try a supplement for a few weeks and see if it helps.
Take charge of your own health and learn to say, "No" to your doctor. The doctor hasn't a clue how to treat HH. If possible, find another doctor.
I've been at this since 1998 and at this point in my life my hematologist, let's me make the decision to phleb when it's borderline such as ferritin or TS% above 40.
I have found I'm at my best when they are around 30.
BTW, what your hemoglobin/hematocrit? You can be anemic as a HH person.
For others who may read this thread, (not the OP). An exception to this rule may be made for some people if TS (saturation %) is above 45% (typically the point at which iron starts to load into organs) even though your SF is low, then some people will have a reason to keep their SF at a lower level. (I think I've seen Bob say exactly this before, please correct me if I'm wrong Bob)
I don't think you need to worry though given your TS is only 16%, you should fit with what Bob has said. Good to hear you are feeling better.