Where are you transporting this range bag TO? Intrastate: See Bob's simple answer^^^.
Interstate: follow FOPA Rules, and keep the ammo in a separate container.
And if you're serious about those stupid padlocks for zippers, throw a set of bolt cutters in the vehicle. Cause it's only a matter of WHEN, not IF you're going to forget to pack the keys & have to go home for them
Be safe & have fun!