How do I place an ad in the newspaper for a legal name change but keep the name private?

Legal name changes here require an ad space in the paper to run for 4 consecutive weeks to allow for any objections by the public. However, I'd like to keep my name private in the ad. I know that there is a security act for those who have been ually aulted or are being stalked to allow for a private name change without requiring to place the actual new name in the paper. Is there a way to do that for the rest of us?