Okay so I was a bit slippery slope with the pizza comment.. but I really do eat different from the average American, and am generally not well catered to by any food program I have ever seen (which is totally fine - I don't expect anyone to bend over backwards for me). But, I would totally rather make $200 more a month than be given "free food".

Why not give everyone $200 a month and then sell the food for near cost ($4 a meal or whatever)? No matter what you do, some people are not going to consume it.