I just sent you a PM with info. To access, just click on your name and from your personal page, click on messages.
Don't make an appointment with just any doctor. Most of them will respond just like your current doctor. We might be able to steer you to a good thyroid doctor if you will tell us your location.
Pardon me if I get into too much detail here, but there is a lot to discuss so that you understand what is going on with your thyroid status, and why your doctor has not helped. First is that the predominant assumption is that hypothyroidism is insufficient thyroid hormone, correctly sensed by the pituitary gland, which then secretes thyroid stimulating hormone (TSH). This usually results in the belief that a TSH test, and sometimes a Free T4 test, are all that is needed to diagnose and treat hypothyroidism. This is very wrong, for a number of reasons. To start, the correct definition for hypothyroidism is insufficient T3 effect in tissue throughout the body, due to insufficient supply of, or response to, thyroid hormone. This definition is very different in that it recognizes that beyond just TSH and Free T4 there are numerous additional processes and variables that affect Tissue T3 Effect, The level of Tissue T3 Effect determines your thyroid status as either hypothyroid, euthyroid, or hyperthyroid. If the level of your Tissue T3 Effect is too low, then you have hypothyroid symptoms. Unfortunately most doctors don't understand this, or just take the expedient approach and ignore symptoms and Free T3 and just basically pay attention to TSH. This approach also assumes that all hypothyroidism is primary, with high TSH due to Hashimoto's Thyroiditis, and it overlooks central hypothyroidism and many other causes for inadequate Tissue T3 Effect. TSH does not even correlate well with serum thyroid hormone levels and has negligible correlation with Tissue T3 Effect. So, the main value for TSH is just to distinguish primary from central hypothyroidism.
A good thyroid doctor will diagnose a possible hypothyroid patient by evaluating for symptoms that occur more frequently with hypothyroidism. In addition a good thyroid doctor will test for Free T4, Free T3, TSH, Reverse T3, cortisol, Vitamin D, B12 and ferritin. If TSH is high then tests for autoimmune antibodies are also required. If the patient has symptoms that are frequently indicative of hypothyroidism and the Free T4 and Free T3 are in the lower half of their range, that is indicative of hypothyroidism. Inadequate ferritin (a storage form of iron) adversely affects conversion of T4 to T3. In addition, a deficiency in cortisol or Vitamin D adversely affects response to thyroid hormone at the cellular level. I am giving you all this just so you realize that hypothyroidism can be caused by many different things and by no means can it be diagnosed based only on TSH, and sometimes Free T4 tests. You can read about all this in the following link. I highly recommend reading at least the first two pages, and more, if you want to get into the discussion and scientific evidence for all I have stated.
http://www.thyroiduk.org/tuk/TUK_PDFs/The%20Diagnosis%20and%20Treatment%20of%20Hypothyroidism%20%20August%202017%20%20Update.pdf
From your symptoms and limited test results I agree with Red_Star that you likely have postpartum thyroiditis and need to get started on thyroid medication and then continue to increase the dose as needed to get Free T4 at least at mid-range and Free T3 in the upper third of its range and then adjusted as needed to relieve symptoms.
Based on the history with your doctor I have very little expectation that you could use this information and get him to do the needed symptom evaluation and additional testing needed and then diagnose and treat like you need. So perhaps the best approach is to find a good thyroid doctor. If you will tell us your location, we might be able to suggest one that has been recommended by other thyroid patients.
First thing needed is to get a copy of your blood test results and post here, along with reference ranges shown on the lab report. The doctor is required by law to give you a copy of the report, upon your request.
Check wikipedia's article Postpartum thyroiditis.