Your premise is a little skewed. In fact the Hog Reduction Program of the AAA did package the meat and distribute it to the hungry and needy. The program was not mandatory, and farmers willingly participated as they were going bankrupt from oversupply and lack of demand.
The stories of forced slaughtering of millions of pigs and burying them into huge pits or rolling them into rivers are all false, a product of urban myth and yellow journalism,