They have NO way to enforce that, since during bear season you can take both weapons out and decide which one you want to use once you are in the field. You can spot and stalk a bear with a bow and if you can't get close enough you can whack him with the handgun, that is perfectly legal. Heck if you want you can carry all three bow, handgun and rifle and whack a bear with which ever one you decide once your out there. If I stick a deer or an elk tag in my pocket that does not change a thing and there is NOWHERE in the regs that says otherwise.