If you want the rich to not be above the law then the punishment for breaking said law should not be financial in nature. Any punishment that is financial in nature will ALWAYS be less impactful to the rich than to the poor.
An improvement to this would be to structure fine based on networth rather than a fixed amount. Yet even then, a millionaire paying $900,000 in fines is still not as devastating as a poor person paying $900. So I would say that the issue is still the structure of the punishment.
Someone with money to burn can already get priority access to so many things. I don't mind if they can buy priority access to roads and reduce the amount of funding that has to come from everyone. When there's no harm or risk of harm, it's a pretty big exaggeration to use a phrase like 'above the law'.
An improvement to this would be to structure fine based on networth rather than a fixed amount. Yet even then, a millionaire paying $900,000 in fines is still not as devastating as a poor person paying $900. So I would say that the issue is still the structure of the punishment.