In this heavy heavy regulated Province of NB you are out of luck. I understand your logic of wanting to bring your bow in the event that you also come across a bear, as you are hunting more than one species at a time.
From the NB Fish and Wildlife Act:
"firearm" means any device from which any shot, bullet or other missile can be discharged and, without limiting the generality of the foregoing, includes a rifle, shotgun, pellet gun, air gun, pistol, revolver, spring gun, crossbow or longbow;
No holder of a resident moose licence, a designated resident moose licence or a non-resident moose licence shall have in his or her possession in a resort of wildlife more than one firearm during moose season.
95-119; 96-63
From the NB Fish and Wildlife Act:
"firearm" means any device from which any shot, bullet or other missile can be discharged and, without limiting the generality of the foregoing, includes a rifle, shotgun, pellet gun, air gun, pistol, revolver, spring gun, crossbow or longbow;
No holder of a resident moose licence, a designated resident moose licence or a non-resident moose licence shall have in his or her possession in a resort of wildlife more than one firearm during moose season.
95-119; 96-63