Hi Unsure,
The only sure way to test for alpha thal trait is a DNA sequencing test, which can reveal the exact type of alpha mutation you carry, if you are a carrier. If your Hb level is normal, your low MCV and MCH do indicate the possibility of alpha trait, but only the DNA test can confirm this absolutely, as you will not normally see any hemoglobin H in an adult carrier. Also, if your Hb is normal, it is futile to be taking iron and is actually contraindicated in alpha trait.
With the number of possible alpha carriers we have heard from recently, who are told they suffer from iron deficiency, I am beginning to believe that iron panel testing is not sufficient to determine iron deficiency in alpha carriers, as none of the members who have brought this issue up have seen any change in iron levels with the use of iron supplements. With your Hb being normal, I have to believe that ferritin tests and serum iron tests are not giving an accurate picture of iron status. If a one month course of iron shows no change, it is unlikely that iron deficiency is present. Iron has always been warned against in alpha minor because alpha minor and iron deficiency look so similar in tests. If you have any other results from a complete blood count, it might shed some more light on your status.
One thing that is universal with alpha thal is that the only thing that is known to help is folic acid supplements. Iron cannot help unless iron deficiency is indeed a reality. I would also suggest that you get your diagnosis confirmed, as this is important information for your children who may also be carriers. They need to know before they choose to have children of their own, so they can make sure their partners are tested before having kids. If you are confirmed as a carrier, your children should also be tested. This may have already been done at birth, as this is routine in many countries.