Can you post your latest lab results, with reference ranges? That will help members assess your situation and be able to comment more fully.
Hypo symptoms will continue until your meds are increased enough to raise your Free T3 and Free T4 levels enough to relieve symptoms. The majority of hypo patients taking T4 meds find that their body does not convert the T4 to T3 adequately and end up with an imbalance that leaves their Free T3 lower in its range relative to Free T4 in its range. Many of our members report that symptom relief for them required that Free T3 was adjusted into the upper part of its range and Free T4 adjusted to around the midpoint of its range.
A good thyroid doctor will treat a hypo patient clinically by testing and adjusting FT3 and FT4 as necessary to relieve symptoms, without being constrained by resultant TSH levels. Symptom relief should be all important, not just test results. A very important thing you need to find out is whether your doctor is going to be willing to treat you clinically, and also whether the doctor is willing to prescribe meds with T3 in them.
You can get some good insight into clinical treatment from this link to a letter written by a good thyroid doctor for patients that he consults with from a distance. The letter is sent to the PCP of the patient to help guide treatment.
http://hormonerestoration.com/files/ThyroidPMD.pdf
If you will post your thyroid test results and their reference ranges, members will be glad to assess the adequacy of your testing and treatment.