What the beta blockers did was mask the symptoms of hyperthyroid a bit. Yes, they help with the tremors and they help protect the heart from too much thyroid hormone, which can cause arrythmias, among other bad things.
We are supposed to wean off the beta blockers. You said that now you "cannot" take them. If you went off them all at once, there is, typically, a rebound syndrome of all the symptoms that they were preventing before. It can take a while for the body to settle down if you went off them all at once.
And, as for waiting: patience was not my long suit when I came down with Graves. Many of us aren’t. But we have to practice patience. KNOW that you are getting well again, even though you still feel crumby. You’ve been diagnosed. The treatment has worked (you went hypothyroid). And, now, you have to find the proper dose of the replacement hormone. It starts to work immediately. But you may not be on the right dose. Certainly, your blood work wouldn’t register the difference, even though it has started working. You really just must be patient a little while longer. Once you are at normal, and stable, levels of hormone, your body will start to heal, and little by little you will feel better.
I do hope that day comes for you soon.