Well it has never come up before but yeah I was having some real issues with my hands a couple weeks ago. I was dropping food at the buffet at Fathers Day brunch. I couldnt get them to stop that day was embarrassing as had entire family at a fancy meal and I couldnt work my hands. I often spill my coffee when trying to walk from the kitchen to my office. It seems to have gotten worse the last few years. I have kind of just assumed it is some kind of electrolyte or sugar imbalance thing as it usually happens before or after eating. But I gave up writing by hand years ago I can not really fill out forms anymore. They always shook a little but sometimes get bad now. I have also been in a lot of race car wrecks and may have some kind of nerve damage in my neck. I also thought maybe it was cramps or carpal tunnel related. But I had the issue to a lesser degree when young so not sure. I don't have a primary care physician I have not had one in over a decade. It is very difficult to see a Dr around here and not sure what they could do anyway. But yeah I get hand shakes sometimes.
It's called tremors. Tremors may be caused by the following:
Drugs e.g. amphetamines, cocaine - this seems like a strong possibility
Alcohol and caffeinated drinks consumption - two drinks ever couple of drinks wouldn't make your hands tremor. Are you a coffee or Pepsi drinker?
Drug withdrawal e.g. benzodiazepines, alcohol - not likely to be benzo's since they cause loss of appetite and you definitely don't have that. Hard to have alcohol withdrawal since you "don't drink" well except those two you mentioned. Can't be testosterone cypionate because you told everyone it isn't a drug.
Lack of sleep - getting up during the night to poop might be a problem. You also seem like a good candidate for sleep apnea.
Stress, anxiety, anger - any of these seem very likely.
Advanced age - you are not that old.
Maybe it is Parkinson's or essential tremors.
Considering your extensive medical history, there is no excuse for you not to have a primary care physician. Only problem with that is a doctor can't accurately diagnose your health issues when you lie or lie by omission to them.
Carpel tunnel is unlikely. I know several people with carpel tunnel, including myself. It causes pain and weakness in your hands, not shaking/tremors.