I'm told that the Red Cross works extensively with the Southern Baptists to prepare food in Gulf Coast shelters, and its pretty good, not MREs or HDRs as long as their kitchens are open.

Another Red Cross volunteer who has staffed shelters many times warned to bring along some of your own provisions - apples, granola bars etc - as especially early on they may not have the food logistics worked out and will go hungry, or will be eating bags of chips and other junk food that don't particularly nourish you.