I've often wondered whether penalties should target reputation more than they do, which would affect all classes of criminal including upper class. For example, as part of the sentence for violent crimes, the government could mail official press releases about the crime to all households in the area periodically for a certain amount of time after the conviction, or put up signs, at the criminal's expense (with a government cost-sharing for poorer criminals beyond whatever cost society would view appropriate to fine them - but mail and signage aren't that expensive). And companies convicted of a crime might have to fund government notifications of their crime to their customers and store/office visitors.

Details might need tweaking, but a version of this could really work.