OP, I have a similar condition that's yet undiagnosed. Last week, I had the miserable cold virus that's going around, and ended up with a full face of swelling/ hives. It's now all burnt looking around my eyes and my entire face is peeling. Nothing like getting over miserable mucus to lizard place to turn your DH on, right?
The scary part of this episode was the inside of my mouth hurt too, but dr was not concerned as no breathing involvement.
Regardless if it's hives or angio, the treatment is the same: antihistamines and avoid the problem. Doc will advise to avoid heat and cold and any other potential allergens. I find weird combinations will set me off... Eg. Oranges and cold. I can eat oranges all summer.
I carry Benadryl cream and liquid (faster to absorb) with me always. Hydrocortisone cream if it's really bad, but you need to be aware that prolonged use thins the skin, so it's not really recommended for the face (where I get most of my "hives").