With cortef in our experience after 4-5 weeks this may reveal hypothyroidism so what we do is recheck the thyroid 5-6 weeks after starting the cortef to see if there is a drop. We also have people take cortef 1 hour before the blood draw to see if their TSH drops. Normally with cortef in >80% of cases their also needs to be thyroid support to get full response. We have not had any people that are doing good just on cortef its self. Not saying it can not happen.
I would check vitamin D because that can make HCG work even better.
Again discusss your options with your DR and see what he thinks is the best route. Sometime being on hcg may stmulate and get you going again.
We have a few people on HCG therapy they love it but they are over 30 years old.
Best of luck