T4 never stopped the lethargy from hgh for me. I wouldnt supplement with t4 unless you get bloods and your t3 is sky high and your t4 is low as hell. Never blindly add something like a thyroid hormone. The tiredness of gh has nothing to do with thyroid in my experience, its just a side effect of using large doses of gh. Now for your dosing protocol either run 2ius am and 2ius pm right before bed or 2.5ius am and 2.5ius pm.

you running pharm grade or generics? You shouldnt have much lethargy on 4-5ius per day with pharm grade. But with generics ya its to be expected due to all the toxins left behind and the possibility of other peptides in there to mimic the effects of gh (delta sleep inducing peptide for one)