Have you tried to buy meat directly from a farmer or butcher instead of thru a grocery store?
"Interesting front-page news story in the Grand Rapids Press the other day about Maria Gajewski who is living on a food budget of $30 this month. She’s donating the savings to a local nature center. In part she’s foraging for food from the wild - so there’s plenty of resources on her blog for natural ways to save money on your grocery bill:
http://ricebeansmixedgreens.wordpress.com/
and here's another lady pinching those grocery pennies feeding herself and her husband thriftily:
Eating Organic on a Food Stamp Budget :: Rebecca Blood
It took me quite a while to read thru her entire month long experiment but very informative. She's buying thru a CSA group. Do you have one of those available to you? I would think it would be cheaper than angelfood ministries.
and you may have seen this already but LifeInAShoe features a family of 8. She has a food section:
Life in a shoe: the methods and madness of one mother of 8
Even if you never buy a thing it's a great place to poke around at:
Welcome to Walton Feed, home of your dehydrated food storage needs.
Check out their archives and recipes.
Do you live near a LDS church? They have a food program for families in need thru their Bishop's Storehouse. CALL THEM!!! Even if you don't take the food they give away for free, they have a canning program where you can go in and can up some great food for your family at a very low price.
edited to add: I went there once and canned. It was great. There was absolutely no prostelyzing.
If you don't mind my asking what state/area of the country do you live in?