T4 does convert to T3 -- Armour or the addition of cytomel
is a consideration, but the research on this
is not that convincing - although some patients feel better with it.
Target TSH is around 1.0, but "fine tuning" between the 0.6 - 3.5 range you mention is not likely to make a difference.
So, from thyroid standpoint the options are do nothing or try some T3. Otherwise, look into non-thyroid causes or life-stressors, etc.