The dose of thyroid medicine you take is not important, this is very individual. What is important is that your levels are where they should be and that you feel well.
Your symptoms do sound like they could be hypo.
As gimel says would also be important to be tested for FT4 adn FT3 to see where your levels are at, and hopefully give a better guide to your treatment.
Considering that your doctor wants to keep things suppressed as you are post cancer, FT3 and FT4 should be towards the top of the laboratory's provided reference range.
Let us know if you have results and we can give you better feedback.
I hope that you have been tested beyond just TSH. TSH is a pituitary hormone that is affected by so many variables that it is totally inadequate as a diagnostic for thyroid. At best it is an indicator to be considered along with more important indicators such as symptoms, and also levels of the biologically active thyroid hormones, Free T3 and Free T4 (note that these are not the same as Total T3 and Total T4).
Many hypo patients taking a large dose of thyroid hormone find that their bodies do not adequately convert T4 to T3, so that they end up with Free T3 levels that are too low in the range and thus become hypo. If you haven't been tested for Free T3 and Free T4, that should be the first priority.
A good thyroid doctor will treat a hypo patient clinically by testing and adjusting Free T3 and Free T4 as necessary to relieve symptoms, without being constrained by resultant TSH levels. You can get some good info from this link to a letter written by a good thyroid doctor for patients that he consults with from a distance. The letter is sent to the PCP of the patient to help guide treatment.
http://hormonerestoration.com/files/ThyroidPMD.pdf