For shtf, use what you have. When you run out of ammo go to the next one.
Interesting question. If you consider that suddenly thousands of like minded people are going into the woods to hunt when SHTF, whatever that is.....But I guess we are considering that our normal food supplies have dried up? I choose a big net. Dropped from a helicopter. Because I think game is going to get real scarce, real fast. Along with tasty little dogs and cats.
But, what the heck do I know. I'll bet you will shoot the very last deer or possum in your county....3 days into the emergency. With a 22LR in the left eyeball.....hoorah
As for me, I grow food. Not because it is cheaper, but for the day when the grocery store does not open. And I protect that with many types of weapons. Including my 22LR.
I'll wait for the knuckleheads to thin their population a bit, since all of the game will have gone to ground anyway. I'll eat the stuff I have on hand, which I procured ahead of time. At the end of that month or so, I'll sneak out into the woods, collect the firearms off the corpses I find, and go back to eating food that I already have. Immediately post-SHTF is NOT the time to be out procuring food.