You only need an archery permit to hunt during an archery-only season.There are no "archery-only" turkey hunts, just general and controlled hunts.
To huntturkeys with a bow during a general season, youneed2 items: a turkey tag and a validnonresidentlicense (3 license options: 1. Hunting, 2. Small Game Hunting, or 3. Three-Day Nonresident Small Game Hunting).