Wyoming is allowing you to carry a gun (non specific) while bow hunting this year for the first time. I don't like it, but that's another matter.

I won't carry one. But I have always had a wrist rocket in my fanny pack. I've chased off a bear once, but mostly bovines.

I do keep a gun in truck/camper cause it's also uplans bird this time of year (grouse!).

I believe the potential for trouble by allowing guns while bow hunting far out weighs any trouble from preditors.