I know a guy that got a ticket for that. Called littering a public roadway. Before trying the drive on a asphalt road check your state law on grass clipping etc.
Most states have a law similar to this.
No person shall place or throw, or permit anyone to place, throw, or shall permit to lie or remain upon the streets of the State, any earth, dirt, mud, sand or similar substance whatsoever, which has been deposited by the driving of any motor vehicle or truck upon the streets of the State.
Granted, this was when I lived in semi-suburbia, but I got a ticket for leaving mud from my backhoe tires on a gravel road once. I got out of there as soon as I was able to. The township was totally corrupt and once they had you on their radar there was no escape.