Joel,
Yes, that is a big jump in thyroid dose. I am a female, originally took 1.7mg T3 3x daily, now 2.5mg 2x daily and 1.7 once daily. Anyhow, you may easily identify if it makes you hyperthyroid because you may feel palpitations, fatigue (almost like you took a long hike type fatigue), and possibly anxiety. Hyperthyroid symptoms with T3 feels a little speedy. You might consider a half tab 3x daily or 1 tab 2 x daily to start.
I do not think you would be in danger per se of a crisis if you don't increase HC, you may just not feel balanced.
I know to increase my HC because I get some distinct symptoms......I get a pain in my back where my adrenals are. I get a feeling of nausea and malaise (general feeling of ill under my rib cage on the left and where my liver is on the right) I start to get a headache (kind of like the headache I would get if I did not drink before I was diagnosed)
The fatigue that I feel from inadequate HC is like my muscles do not have strength. Walking up steps feels like climbing a mountain. Lifting my child is like carrying bricks.
The fatigue I feel from thyroid is more of a sleepiness. I do not feel muscle weakness. But with the right dose of thyroid, I feel increased aerobic activity tolerance.
If it is the wrong dose of T3, don't give up on it. Compounding pharmacist can make the dose as small as you like. Especially with a history of depression, it may be helpful.
How much florinef and HC are you taking?
Shannon