By large-scale, I don't necessarily mean by today's standards. I mean large-scale within whatever society was apposite to the particular example. So, if, for example, Incas raised Tigers for eating (an obvious joke example) on a relatively widespread basis, this would be "large-scale" for my purposes.
Alligators are both farmed (breeding adults kept to raise young) and (more commonly) ranched (wild gathered eggs raised to harvest size) in Florida and Louisiana.
There are more than 400,000 ranched alligators in Louisiana today.
Alligators are ranched or farmed for hides and meat.
http://www.insta-gatorranch.com/education_news_details.asp?ctID=41
Other commonly farmed carnivores are carnivorous fish (mostly salmon or trout). The largest salmon ranching countries are Norway, Chile, Scotland, Canada. Salmon and trout might also be considered ranched carnivores, if one considers fish hatcheries to be a form of ranching.
About 2.2 million tons of farmed salmonids were harvested in 2007.