I think legally speaking, that if you are bow hunting deer, you cannot have a rifle with you, even in camp if you have a bear tag. If you're hunting bear with a rifle, leave your bow and archery tag at home. If you're bow hunting deer, bring the the bear tag but make sure that rifle is a long way away from where you are. I can only imagine the questions following a deer hanging in a tree at camp with an archery tag on it and DFG finding a rifle in your tent. Yikes! Best to not chance it. DFG doesn't mess around with bears...
I'm sure you're an honest guy, or at least hope you are, but I wouldn't give fish and game a reason to start asking questions.