Am i more likely to get prescribed propranolol from my primary care doctor or my physiatrist ?

I have problems with anxiety when it comes to presentations and i was hoping to try this out. my heart beats really fast, shakey voice, shallow breathing, shakey hands, etc.

my previous doctor prescribed me hydroxyzine and that did absolutely nothing for me. he didn’t want to give me propranolol because my blood pressure is where it should be. is there any way i could be more convincing? should i mention i want to try propranolol to my new doctor and physiatrist or should i wait to see what the give me first? i just assume they’re not going to give it to me if i ask for it.

hoping to get some insight and some experiences from everyone here.

thank you for your time.