Doctors just don't understand that taking a significant dose of thyroid med all at once spikes T4 and T3 levels and suppresses TSH for the day. This is quite different than the continuous low flow of thyroid hormone from the gland in the untreated state. A suppressed TSH does not mean you are hyper unless you have hyper symptoms due to excessive levels of Free T4 and Free T3, which you say you don't have.
So I see two alternatives for you. You can try something a hypo patient in the same situation did to prove to his doctor that his suppressed TSH was due to the dosing, not the dose. He took a dose that was suppressing his TSH and split it into 3 parts and took them at different times over the day. His TSH went up by about 2.0.
The other alternative is to go to a good thyroid doctor that understands this and is willing to treat clinically (for symptoms) rather than based on TSH. I am sending you a message on that . Just click on your name and then from your personal page, click on messages.