I'm sorry you're suffering like this and at a young age too.
Thyroid issues are not my area, however regarding the question of whether any of this is related to possible perimenopause or low ovarian hormones can only really be answered by a therapeutic trial of hormone replacement.
I would recommend really having a good holistic evaluation by someone like Dr Louise Newson or the late Professor Studd's clinic in London.
You have already spent a lot on private tests, and had low estradiol and testosterone however I am not convinced of the accuracy of urine tests and would really only go by blood levels.
I have to say that your presentation doesn't scream ovarian failure and FSH/LH are reasonable, however you have nothing to lose apart from the expense and potential disappointment if hormone treatment doesn't improve things for you.
However, it is possible that at least some symptoms may improve, and if it doesn't help at all at least you can rule that out as an issue.
Another option which can be more accessible for younger women with concerns about premature ovarian insufficiency is a combined contraceptive pill, particularly if taken continuously, as this would more than make up for any estrogen deficiency, however with migraines and episodes of high blood pressure this may not be suitable, and as there are concerns about low testosterone too this may not be the best option as it can further lower androgens - although this may not be clinically significant if they are barely detectable anyway.
Again I am so sorry about the unkindness and dismissive attitude you have received from the "caring" professions. I encountered similar after becoming disabled due to a brain injury at the age of 34. There is an extremely high cultural tolerance of women's suffering within healthcare that I would love to see changed.
Please don't give up trying to seek answers and feel better, you deserve it. And don't accept any psychiatric labels that you feel are inappropriate - when we lose aspects of our physical health and quality of life it is a normal human response to feel sadness, grief and fear. These are not clinical diagnoses but entirely reasonable responses to trauma.