It'll take the edge off the anxiety symptoms so you don't have to worry about them catching you unawares or being uncontrollable (fear of them happening can cause a vicious circle of anxiety-anxiety about having anxiety-anxiety-more anxiety). There's also a far, far lower risk of negative/dangerous side effects than with other medications.
However - you did say something very important. Your anxiety is giving you an urge to run. You can also use that as a way to cope.
DP had severe anxiety that was generally OK on propranolol, but he still had some symptoms; he was experiencing the fight (never going to happen)/flight/freeze response. So he was freezing and feeling trapped, which causes anxiety in itself.
I asked him that if his brain was screaming at him to run, what would happen if he actually did? So we went out to a quiet park, early on a Sunday morning and walked-ran for half an hour. As far as his body and brain was concerned, he'd fulfilled the flight reaction, so he didn't need to be on high alert/wasn't at risk. He relaxed and actually slept soundly for the first time in months that night. As the weeks went on, we increased to twice a week and then, on his instigation, we joined a gym because he realised that sometimes he didn't want to run, he wanted to 'do something staying still' because he was feeling frustrated or something other than fear. His anxiety meant that he really wanted me to go along with him, as he knew I'd used gyms before and I had been thinking about rejoining.
It's been transforming for him both physically and psychologically. And I'm not complaining about how either of us look for exercising 45 minutes, 4-6 times a week, either.
There's a strip of propranolol in his work bag. It's been there for six months and there are only two out of it.
Might it be worth thinking about at some point, OP? Seeing if working with your body and instincts as well as a very well tolerated and helpful medication could be useful? DP says it would never have occurred to him that it could help so much or that he'd ever be somebody who does it, but he's gone from being somebody who was completely paralysed by symptoms to how he is now.