For the record, I have not thought this entirely through but unless a website is totally devoid of personal or corporate identifying information, I don't see domain privacy protecting much except from the spammers.
With any of my many websites, I could have domain privacy but then what? I have phone numbers, email addresses, and some entity named in the website.
I think this might work only with people who go to great lengths to sanitize identifying information. For me, I made a decision years to turn my "persona" into an asset. For example, I may be engaged in totally different businesses and interests but you can be sure my core personality and the way I do business is largely the same.
I have seen other web entrepreneurs carry out a similar style. They are in different businesses but there is a theme or mantra they follow in how they project and carry out business.
In the end, I think there are a lot of factors to consider on using some the edgier suggestions in this thread. Nevertheless, ELI is all about "out of the box" thinking and creativity. So keep the "crazy" suggestions coming!
Good point made here by Buddhapi.
Now's a good time for OP to get domain privacy.
S.G.