Those are almost certainly not primary residences, they are likely not mortgaged by their owners (without a substantial rental business providing collateral, for example), and most states LLC records are completely public.

The records of the LLC’s managers are public, but not usually their beneficial owners (unless they are the same people).

The way to do it is to have your attorneys be the managers of your holding companies, then you can direct them (under privilege, afaik) to sign what you like. This is how I do it. Alternately if you have staff you trust and expect to have a long time (I don’t), they can be your holding company’s manager(s).