In the past few months, I've observed that there is actually a thing like general envy for the rich. They tend to be blamed for the slightest bad events that is connected to them in anyway even if it is completely out of context or insignificantly related.
There's a difference between envy (wanting to be like someone or have what they have) and blaming someone for something.
Going with the second - and completely opposite to the first - "Plutophobia" has been used to describe a fear of wealthy people, though the term is more general than that, and can also relate to a fear of wealth itself.
However, it's probably not the word you're looking for, since a sufferer of plutophobia might blame and try to avoid the wealthy but would have no feelings of envy for anyone rich.