High TSH with weird symptoms

Looking for some feedback about a high TSH condition. It was identified following a workup when I suffered a deep vein thrombosis in my right, upper thigh last year.

I was diagnosed with hypothyroidism about 1 year ago with a TSH level of around 25 mIU/mL (yes twenty-five) and have been on an increasing dosage of levothyroxine (Synthroid or Eltroxin depending on dose) since then. I started at 88 micrograms Synthroid.

I was close to 5 mIU/mL about 3 months ago and my dosage was upped to 112 micrograms of levothyroxine. My last test was 22 mIU/mL TSH and my dosage is now 137 mics of Synthroid.

Had a brief period of weight loss, but am stuck now. No change to energy levels, mood, apetite.

The "weird" symptom is that I am always too HOT, and have a much higher resistance to cold than most people I know. I loathe the summer months because I can never get cool.

Wondering if anyone else out there in endocrine web has had a similar experience and could offer some advice.

I have been under the care of my GP since the diagnosis of high TSH. Would I be within my rights as a patient to ask for a referral to an endocrinologist at this point since I am not making any headway on getting the TSH level down into the clinical target range?

Or, is it a case of finding the correct dose. I am 280 lbs., 6 foot 2 inches tall, larger male. I do carry quite a bit of extra weight around my middle and upper legs.

Any advice would assist.

Thanks.