Disagree on all counts right now except for the vit d3 and liver support which can only help.
No need for hcg as your T is good. I wouldn't start interfering so directly with your hpta axis.
You need to read and understand more. hcg does not increase LH production it's an analogue, so it resembles it and takes its place. Because it functions as an external source it will decrease your normal LH production
Again, you'll feel much better by accomplishing two things, decrease e2 and improve thyroid function.
e2 can be decreased by improving gut and liver health. Read everything you can on this site on gut healthy, inflammation, leaky gut etc. Start eating fermented sauerkraut that's refrigerated in the health food store or start fermenting your own. Drink apple cidar vinegar, eat nutritional yeast and more vegetables. Reduce your body fat and stress.
Do you use iodized salt? How are your body temps? Measure your body temps twice a day for three days, once right upon waking before you talk, eat, drink or shower. Should be 97.4 or higher. Measure again in early afternoon, should reach 98.6. Report those 6 numbers here. If you can't hit those numbers it indicates potential thyroid problem.
There's a reason your e2 is high and your ft3 is low. If I could go back I would search harder for the reason to see if possible to address before pharmaceuticals. If you jump straight to pharmaceuticals when you may be able to address the deeper issue at hand, its just a band aid solution.
If the above isn't effective I would suggest only going the anadtrazole route. Micro dose EOD by dissolving 5 mg of anastrazole in 5 ml of vodka in a small dropper. Measure how many drops your dripper dispenses to fill 1 ml and you'll then know how many drops contains what mg dose of anadtrazole via simple algebra.. Example is if the dropper you buy dispenses 20 drops to fill 1 ml that means 10 drops would be 1/2 mg anastrazole which you want per week. I would then consume 2-3 drops every other day.
I also asked a couple of questions in my first response that you never answered. Can you go back and answer those as well?