What happen if an aircraft is more than 10 hours overdue for its 100-hour inspection?
FAR 91.409(b) says:


  Except as provided in paragraph (c) of this section, no person may operate an aircraft carrying any person (other than a crewmember) for hire, and no person may give flight instruction for hire in an aircraft which that person provides, unless within the preceding 100 hours of time in service the aircraft has received an annual or 100-hour inspection and been approved for return to service ...


(Emphasis mine)

According to a literal reading of the regulation, it only applies to operation "for hire" and not to the owner(s) flying it for personal use. So, in theory, what you propose is legal.

However, if an FAA inspector ever reviews the log books and sees that you went over 100 hours between successive 100-hour inspections, you would need to provide evidence that every such flight was not for hire, which could cost you significant time and effort.

So, while it is technically legal, in practice it is unwise. If the plane is regularly used for hire, get it inspected every 100 hours regardless of the nature of specific flights.