Hi, your numbers are very similar to what mine were when I was first diagnosed in November last year, as are your symptoms although I was never sick.
My hands shook like nothing on earth and my heart was just pounding all the time, it woke me up during the night and I couldn't bear it if my other half out his arm / hand on my stomach. I felt SO ill though.
My GP started me on 20 mcg Carbimazole at the beginning of December as soon as my blood results came back, but I couldn't take beta blockers because I have asthma. After a month on 20mcg I had a blood test which was sent off to the consultant who I hadn't seen, then at the beginning of January got a letter from the hospital putting me on to 40 mcg a day. I took that until the end of February when I had another blood test and then saw the consultants assistant. I was under active by then and was started on 50mcg of levo.
That pretty much calmed the awful palpitations down. After about six weeks on levo and before I was due to see the endo again I started getting palpitations again ( I thought I was over medicated ) and my GP gave me amitriptyline to stop the palps which it did and as soon as they stopped I phased them out which was about the time I saw my endo who raised my levo again. Someone on here said you can get palps when you are under medicated and they were correct.
Hopefully raising your Carbimazole - how much are you taking? and giving you beta blockers ought to do the trick until you can get to speak to / see your endo.
You could always present yourself at A&E if you feel really anxious about it all.