I had a mod in Fallout 3 which added other weather types, but I chose not to use radioactive rain, which is why I'm having such a learning curve in Fallout 4, which includes rad rain by default. Wish I could just get rid of it honestly, but mods for that sort of thing on Xbox don't seem to exist.

Most weather mods tend to crank up the intensity of storms. There are some that add packs of feral ghouls that spawn during radstorms.

Edit: Renee, I would still look into some of the weather mods. I used to run Vivid Weathers and IIRC it came with a holotape that you could stick in your Pip Boy to control the weather. I remember using it to turn off nasty storms that started at inconvenient times.