Don't quote me on this because I'm still learning but... If you register an S corp; you (as a sole proprietor) should be able to sell your trade name to the corporation. This would essentially keep your public facing business identity the same and assign a registered agent for the new S corp.
It will appear as a new entity but corporate restructuring happens all of the time. It can easily be explained as a sign of growth rather than obfuscation. There are a lot of large companies owned by other large companies.
Some private companies make it virtually impossible to know who actually owns and operates them short of a deposition.
An S corp can be helpful during tax time as well. Being a separate legal entity; you can charge the business rent and lease assets to it.
You also won't be charged FICA tax (15.3%) on the businesses whole income but only on whatever salary you decide is "reasonable" to pay yourself.
There are a lot of good books that explain the in and out of corporate structuring. It's boring as hell but the more complete your structure
appears the more "professional" people think it is - company with employee(s) vs sole proprietorship.
Combine that with a simple website full of fancy words and a little b.s. about diversity and sustainability...and you've got a fortune 500 business.
You could even "sell" the business to another corporate entity and now you become; "ABC machine LLC, a Globodyne industries company."
FWIW, I enjoy reading about this subject but I have yet to do it myself, I'm still learning. I just wanted to share that there is a possible way out of the identity trap.