Map uploaded on February 11, 2017.
Goat meat, aka chevon and cabrito, capretto, or kid is not a real popular commodity in the United States, although there are some very large meat goat farms in Texas and some pockets of meat goat farms in Oklahoma, Tennessee and a few other states. Most counties have some farms raising meat goats, but for the most part, it's not a major commodity, as people don't raise goats commercially much in the United States for food.
More about meat goats: https://www.southernstates.com/articles/raising-meat-goats.asp
Data Source: USDA Agriculture Census, 2012. Goats for meat. Counts. https://quickstats.nass.usda.gov/
More maps, photos from Agriculture.