I totally agree with Gimel. If you live in the states, here's a website where patients recommend thyroid docs: http://www.thyroid-info.com/topdrs/
:) Tamra
Your doctor and the lab are still using the old reference range for TSH. Over 6 years ago the AACE recommended that the range be reduced from .5-5.0 down to .3-3.0. So, your TSH is considerably over the more current range.
More importantly, TSH is a pituitary hormone that is affected by many variables, including the time of day when blood is drawn for the test. At best, TSH is only an indicator, to be considered along with the more important indicators, which are symptoms and levels of the actual, biologically active thyroid hormones, free T3 and free T4 (FT3 and FT4). Even though your FT3 and FT4 levels are within the very broad reference ranges, that does not mean everything is okay, if you still have symptoms.
I assume that the symptoms you mentioned are hypo symptoms. It is important to know that FT3 is four times as potent as FT4 and that FT3 correlates best with hypo symptoms. In my opinion, the very best way for a doctor to treat a thyroid patient is to test and adjust FT3 and FT4 levels with whatever meds are required to alleviate symptoms, without regard for TSH.
Here is a related link that I think you will find worthwhile.
http://www.hormonerestoration.com/Thyroid.html