Is hair loss connected with hyperthyroidism

Condition analysis:
It definitely does sound thyroid related, but there could be other factors at play here.  If you have access to a good endocrinologist, talk to them.  The trouble with Hyperthyroidism is that it's rather difficult to control - one of the only cures known is to kill part of the thyroid.  That may be why your doctor  is having trouble.  Some people take saw palmetto to help stop hair loss, but talk to your doctor before trying that because it might affect your medications.

It sounds like you have two causes of your hair loss.  The hyper thyroid is one, and testosterone is the other - good old male pattern baldness.  The propecia is working by blocking some of the effects of the testosterone, that's what saw palmetto does too.  Perhaps you can devise a combination therapy and get better results.

If all else fails, though, keep in mind that a totally bald man can be very attractive, especially if he is otherwise healthy and strong.  It can be a very good look, so you may end up wanting to embrace that.

Instructions:
Bugleweed: The herb bugleweed, also known as Lycopusvirginica, can help manage mild hyperthyroidism. This particular herb reduces the amount of hormone that is produced by the thyroid.

Studies have found that it helps decrease TSH levels and impairs thyroid hormone synthesis. (1) Moreover, it helps lower T4 levels and blocks the conversion of T4 to T3.
-- Prepare an herbal tea by putting one-half teaspoon (or a little less) of bugleweed in a cup of boiling water and allowing it to steep for several minutes. Strain and cool, and then enjoy this tea once daily.
-- You can also take this herb in the form of tincture (two to six ml per day). Furthermore, a combination of bugleweed, motherwort and lemon balm is highly effective in treating Hyperthyroidism naturally.

Note: Do not use this herb for  hypothyroidism or an enlarged thyroid gland. Also, it may not be suitable for pregnant and breastfeeding women.