There is no way this “could work” because it is a fundamentally bad idea.
A food bank is not just a cart full of loaves of bread. It involves people who know how to engage with various government programs and how to tell people how to engage with it. And, the good ones, involve people who know how to help the people who need to use said food bank.
Like I said above: the issue is not the food. It is the counties. It is getting people to allow a food bank to even exist in their county. And you can 100% bet that if it is such a struggle to allow one to be opened that they will not be cool with The Poors “shopping” in the same supermarket they do.
The issue is that you are approaching this from a REALLY shitty direction. Because the vast majority of the people losing their god damned minds over supermarkets dumping excess food? it isn’t the needy. It is college kids who decided they want to dumpster dive because that will let them save money on food to spend on weed. Because yes, supermarkets waste a LOT of food. But if you actually look into this at all from a “helping the needy” perspective, the issue isn’t the amount of food wasted (which generally isn’t actually THAT much because supermarkets would rather sell food than dump it) and more the distribution to the needy and actually having a food bank/shelter/soup kitchen in a given county/area. And distribution to the needy is almost universally stopped by NIMBYs