If I were to draw a muzzle loader only hunt am I allowed to use a bow in that hunt?

No, you are not.  Muzzleloader-Only Season Any person hunting in a muzzleloader-only season, including controlled hunts, must have in their possession a license with a muzzleloader permit validation. During a muzzleloader-only season, it is illegal to pursue or kill a big game animal with any firearm, muzzleloading pistol, or weapon other than a muzzleloading rifle or musket.