Take it to court or, if it works in your area, write a letter to the DA asking to have it pleaded down to non-moving violation. You might try with court if you want to gamble since you have a clean record and the cop wasn't running radar but, at least in my area, a letter of request to plead down is a sure thing as I've done it successfully at least 5 times.

FWIW, anything over 30 or more over the limit will jeopardize your license.

How fast were you really going?