"hotbed of vice" is a perfectly correct and usable phrase in written English.
Example: The small city was a hotbed of vice, with a booming illegal gambling market and a thriving drug trade.
Conservationists have recovered steel rivets that were hurled at unsatisfactory performers, and a curious quantity of men's fly buttons, justifying the Britannia's 19th-century reputation as a hotbed of vice.
He has to remain firm, just as storekeepers did in this silver-mining town whose past has been described as a "lurid and barbarous hotbed of vice". "I used to be nicer," Joe says.
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"Private lives are full of vice.
Interest in the future of Vice Pres.
(See "The Rage Of Vice Chairman Roy").
Election of Vice Chairmen.
Arthur Rolnick is the former senior vice president and director of research at the Federal Reserve Bank in Minneapolis -- hardly a hotbed of radical thought.
Says Christopher Campbell, senior vice president of marketing at Mattel Inc., a Vision Group customer: "When you think of a hotbed of technology, you don't think of academics from Edinburgh.
Joseph Smith included the consumption of "hot drinks" in his list of vices that Mormons should avoid, along with alcohol and tobacco; as a result, coffee and tea are forbidden on campus.
