Hi Machelle.. I am sorry to hear that your anxiety is so bad. I don't have this problem regularly, I just have it when I am under an infinite amount of stress, which I have also had for the past month and a half.
In many respects, I think that you have already answered your own question. Finding a physical project keeps your mind away from the "smaller" details, yet allows you to work off some steam. Do you have a cellar you can clean or projects around the house (or apartment) that you could do? Or I am not sure where you are from, but it is very cold where I am (US - New England) and I just started planting seeds for flowers (they will be for containers)..for me it feels so good to see them when they start popping out of the soil. ...Or even just smelling the freshly watered soil gives me hope of spring coming soon.
These are just a few ideas, but it sounds like you are already on the right track. Keep in touch and let us know if these are ideas that you might consider doing.