I have lots to say on mold, but I have not started Iodine
myself, so I can't say if it helps or not. I really really pray it helps.
With regards to mold. The most respected mold doctor is called Dr Shoemaker, and he believes that Fibromyalgia and Chronic Fatigue Syndrome is caused by mold. As do most mold people. 99% of doctors know nothing about mold so they wouldnt have helped you diagnose this.
Basically when people get messed up from mold the #1 thing is that dead tiredness, and I read your post and can relate to a lot of it. Fibro, and shortness of breath ARE super common symptoms of mold. Ill list some other common ones you didn't list to see if they ring any bells. Brain fog (attention span/memory/ability to do math all depleted). Heart palpitations/pain, Fighting falling to the floor often, some get hardcore cramping muscles, there are really so many symptoms of mold because it gets into all our bodies organs.
Even though everyone who lives in your home or works where your work...wherever the mold started) isn't sick like you means nothing. 25% of the population genetically cannot make antibodies to mold, and these are the people who get super crazy ill while others in the house/building do not. I really think you should be looking into this mold stuff. I can give you the mold groups I am apart of that you can talk with a whole bunch of people who are mold ill. Is being outside for long periods of time for you much much better than being inside?
I havent splurged everything out here because I dont want to scare you as mold has some very bad consequences on the lives of those who are toxic mold ill, but if you have any questions about mold please ask, I will happily tell you anything I know.