I am at a point I will call Anxious maybe Desperate, Should I change Dr. or just patiently wait?

You really need to be seen EVERY MONTH right now, if you have lost 40 pounds!!! YOU need vitamins and other stuff like that... If you are still having problems, you need to tell him you need to see him sooner!! But you should DEFINITELY call your Doctor and tell him that you are feeling sad all the time. Depression IS a symptom and it is not normal. Are you still having heart palpitations? Because that is what the Propanalol is for. It is just really a heart drug, to slow it down when it starts racing. So maybe you should be taking more than the one a day, if he told you 3. What are the mg's of the propanalol??

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Are you seeing a regular doctor for this, or are you seeing a ENDOCRINOLOGIST??? You need an endo dr. to run a thyroid uptake scan, and do further testing. The endo dr's know everything there is to know about Graves. But some of them are truly idiots... you will have to pick and choose till you find one who gives a damn about you. lol Of course this is true of all doctors, not just endo dr's. :-)
Have these checked...

TSH levels
T3 levels
T4 levels
Reverse T3 levels
Thyroid Antibody levels

I also have Graves... for a few years now. I started off taking propanalol 60mg a day, and propylthyauracil for my symptoms. I am not sure what methimazole is... although I have heard of it. It could be the same type stuff I am taking, but I don't want to comment on it.
Ask your Doctor.
IN THE MEANTIME, you can go to the "Graves Disease Foundation" online, and they have people there just like us, that can answer most ANY question you have about your condition.
I decided I am NOT having my thyroid killed off. But it depends on the severity of your situation, and your age, etc. They may tell you that you need to do that... but get a second opinion. Once you kill it off you can not have it back. It is dead and gone. Now eventually it will kill itself off anyway... then you will become hypOthyroid. The opposite of what you have now. You are ALWAYS going to have a thyroid problem of some kind. It is an AUTO IMMUNE disease also, and affects your adrenal glands and actually it effects EVERY cell in your body. IT IS YOUR BODY ATTACKING ITSELF...
You will ALWAYS HAVE GRAVES, no matter what you do. You will always be taking some form of meds, so I prefer to KEEP my tiny little thyroid that has hurt me so much, because it CAN also go into remission and your symptoms can completely disappear. You will still have Graves, just no symptoms. But the medicine is VERY important for you to take!!!
I have Graves in my eyes also, so if you kill your thyroid, it can cause the eye problem to get alot worse. YOU also need to be checked for THAT! It is called Graves Orbitopathy. If you have really dry eyes, or if you have been told you sleep with your eyes open, you may have it... of course it is really HARD to even GO TO SLEEP when you have Graves. lol I know it is not funny, but I have to laugh sometime, and that was one of MY worst symptoms... going to sleep. But I had ALOT of other symptoms as well..my teeth started crumbling one at a time, my bones are the bones of a 75 year old woman, due to bone loss brought on by graves, osteo-arthritis, pain, anxiety, nervousness, depression, dry eyes... you may develop cysts... I was told I had ovarian cancer because I had ALOT of cysts on my ovaries, that eventually all BURST. It was horrible pain, but it turned out to be benign, but for 2 MONTHS I thought I was dying... so it is nothing to screw around with. I also had cysts in my breasts, and on my thyroid right now... also benign as of last week. THANK GOD!! Just so you know what to look for...
Go to the GRAVES FOUNDATION, sign up, and read everybody's questions... they will help you. Another site is called DEAR THYROID and they are a pretty fun group of people who all have some problem with their thyroid.
Hope you get the help you need! Let me know if you have any more questions... I feel like a pro at this now, I have read SO MUCH on it. Plus one of my 4 boys has it also... it runs in families in case you do not know. Let me know how it goes tomorrow, ok?