I'm not saying you need thyroid hormone medication, right now...notice, I said "as your thyroid stops producing"...
I am saying you need further testing to determine what your problem is, because it's not normal thyroid function, when you have symptoms, such as you're having. The tests I recommended above, will help confirm or rule out pituitary issues and autoimmune thyroid conditions.
Mild fatigue and frequent bowel movements are rather frequent, almost everyday actually. The sensitivity to heat isn't too common, it could even just be me feeling too hot.
It looks like your thyroid production is beginning to decline, as your FT4 is only at 37% of its range, which is low of the recommended level. Your FT3 is at 74% of the range, which is upper half of its range, which recommended, but may be too high for you.
Most likely, you will need replacement thyroid hormones, as your thyroid stops producing in response to the lack of TSH.
I might suggest that you ask your doctor to test other pituitary hormones. If you have a pituitary issue, it can affect any or all of the endocrine system, which includes the thyroid, adrenals, pancreas, etc.
Other pituitary hormones that should be tested include, but are not limited to are ACTH, Prolactin, LH and Growth Hormone.
I'd also recommend that you ask for a thyroid ultrasound to make sure there isn't a nodule that's been producing hormones independently of the thyroid.
You should also ask to be tested for thyroid antibodies to rule out Hashimoto's and/or Graves Disease, both of which are autoimmune thyroid conditions.
The tests you need for Hashimoto's are Thyroid Peroxidase Antibodies (TPOab) and Thyroglobulin Antibodies (TgAb). Hashimoto's is, typically, associated with hypothyroidism, but it often starts with periods of hyperthyroidism, alternating with periods of hypo... You may be just coming out of a hyper phase.
Thyroid Stimulating Immunoglobulin is the definitive test for Graves Disease.
You say you "have" experienced those other symptoms... do you experience them on a regular basis?
The FT3 reference range was 2.3-4.2 PG/ML and the FT4 reference range was 0.73-1.95 NG/DL
The FT3 reference range was 2.3-4.2 PG/ML and the FT4 reference range was 0.73-1.95 NG/DL. As far as other symptoms, I have experienced fatigue, frequent bowel movements, and some sensitivity to heat/hot environments.
Chronic hives can often have an underlying cause, such as a thyroid disease or Lupus.
We do need to see the reference ranges for your Free T3 and Free T4, as ranges vary from lab to lab and have to come from your own report.
Your thyroid does not produce hormones without stimulation from the pituitary gland, so it's possible that there's a problem in the hypothalamus/pituitary axis.
With such low TSH, your thyroid will, stop making thyroid hormones and you will develop a condition called Central hypothyroidism. Your FT4 may already be on the low side, indicating that your thyroid production is not optimal.
Do you have any other symptoms...
Please mention the lab reference range too which vary from lab to lab.
Having a very low TSH with normal Free T4 and Free T3 is nothing wrong. In fact it means your thyroid gland require very less stimulation from pituitary gland, TSH to make adequate level of thyroid hormones.
Since you are experiencing urticaria, likely the thyroid hormones might be spiking sometimes though not able to detect in lab test as it gives the instant values.