There is hope but you're going to have to keep a close eye on this doctor. Looks like you'll be able to teach him a lot. Graves cannot be diagnosed from a scan. A scan can only give you a kinda blurry picture of the thyroid, tell you whether it's hot or cold, homogeneous or inhomogeneous and whether it contains nodules. I was told I had graves based on a radiologist's diagnosis from a scan. Wrong. I do not have graves. Radiologists have no business making a final diagnosis. There job is to report what they see and possibly suggest further testing based on what they think if their opinion is asked for.
Graves is diagnosed based on antibodies. TSI or TSAb's are the most specific tests for graves. A few people with graves also have TPO and/or thyroglobulin antibodies, which, if the doc's willing to order, aren't a bad idea to have too.
Minus any nodules, the three most possible diagnosis are graves, post-partum thyroiditis or the hyper phase of hashimoto's thyroiditis. If your doctor would run a TSI antibody test and a TPO antibody test, it would narrow things down even further. It would give you an idea of what you're looking at down the road and tell you if anti-thyroid meds are appropriate or whether beta blockers alone should be used. It wouldn't hurt to start the anti-thyroid meds regardless but it would be better if you knew for sure what you're dealing with.
When you report lab results, it helps if you also put the lab reference ranges for the lab that ran the test so that the results can be put in perspective. Each lab can have slightly different ranges and what's normal for one lab may not be the same at another.
There's only two approved meds for treating hyper in the US. PTU's the other one but you have to take it more often so the docs almost always go for the one that's more convenient for the patient. I had a 50/50 chance of being right from the get-go.

Made me look pretty smart though, didn't it?
How are you taking the propranolol? One trick a gp passed on to me about beta blockers is that hypers require higher doses and more frequent dosing intervals than normal people do cause we metabolize it quicker. I had been prescribed like 40mg/day of the regular stuff by another doctor and he upped it to 160mg of the long acting stuff and split it into 80mg twice a day instead of once a day like it's supposed to be taken. It was like a miracle.