Just a couple of thoughts.
First of all run down to the local Walmart and lift up 1000 rds. of any kind of ammo. Its heavy, the bigger the ammo the more it weighs. 1000 rds. of any shotgun ammo is way out of the question.

Given my choices and assuming I knew the area I believe I would do far better supplementing my diet fishing than small game hunting. With fly fishing gear you could get away with less than 3 lbs and have enough to work with for months.

This area you are going to, is it known for having an abundance of small game and great fishing ? You can't eat what ya can't find.

This is not "man woman wild" you can't just wonder around killing and eating whatever you find. Thats not how our game laws work.....regardless of how its displayed on TV.