Can Person Have Both Hypothyroidism And Hyperthyroidism At The Same Time?

Some how I am too fat to wear boxers anymore, if I get the size that fits me around the waist they hurt my testicles and are really tight around my butt and legs, if I get the next size up they feel much better around my crotch but are way too loose around the waist. I am 6ft tall and 200 pounds, so its not like I am all that over weight and I know people much larger than me wear boxers, so I don't understand how this is happening and I am worried if it is a sign of some weird health problem, that I am somehow the most abnormally shaped guy in the world and can't even find underwear that fits.

I have Graves Disease and my specialist has had me taking medication for both hyperthyroidism and hypothyroidism at the same time for the last 5 years which everybody thinks is really weird (including the pharmacy and lab where I get blood work done) and wonder if this has anything to do with it. I have told my specialist about this problem before and he just says "yeah that's weird" and has nothing else to say. Its a goofy problem to have but has become a very serious problem because I can barely think or function in life anymore because I constantly have boxers squeezing my testicles.