I couldn't at all find the Air Force standards on this (without putting a ton of effort in anyway) but here's what the Navy has to say:
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8.5 THALASSEMIAS
Rev APR 04
AEROMEDICAL CONCERNS: Thalassemias produce a low-grade anemia that can cause problems at altitude. Splenic enlargement and worsening of the anemia can occur under conditions of stress. The condition is much more widespread than commonly suspected.
WAIVER: viation personnel must meet the hematocrit standards previously listed. Personnel with beta thalassemia minor (heterozygous carriers – beta thalassemia trait) or with alpha thalassemia minor (1 or 2 gene loci absent) may be considered for waiver provided there are no other hemoglobinopathies present. Any anemia must be limited to a mild, microcytic anemia. Patients who have required splenectomy because of their thalassemia are disqualified from military flying.
INFORMATION REQUIRED: Establishment of the detailed diagnosis by estimation of HbA2, HbF, serum Fe and ferritin and by quantitative electrophoresis. The diagnosis of thalassemia cannot reliably be made in the face of iron deficiency, hence iron studies must be provided that document normal iron status with submission of the waiver request.
TREATMENT: N/A.
DISCUSSION: The thalassemias probably constitute the world's largest gene disorder. Beta thalassemia occurs widely in a belt extending from Southeast Asia, through India, the Middle East, the Mediterranean (as far north as Romania and Yugoslavia), and to north and west Africa. Carrier frequencies can vary from 2 to 30% in these populations. Beta thalassemia also occurs sporadically in every racial group. Splenectomy results in a greater risk of overwhelming infection and of severe malaria, which can effect an aviator’s fitness to deploy. The flight surgeon will not uncommonly make the diagnosis of thalassemia after chart review turns up a chronic, low grade microcytic anemia that does not respond to iron therapy. Homozygous beta thalassemia or deletions in more than two of the alfa chains are almost always severely symptomatic or anemic, and as such rarely make it into the military.
https://www.nomi.med.navy.mil/Text/NAMI/Wai...tm#Thalassemias
Take a multi-vitamin once a day to keep your iron levels where they should be and disclose all. That should help, if only a tiny bit. You said "thalassemia minor". That "minor" sounds promising for you (see my added emphasis above).