Acknowledging white privilege is not about “paying the price for a historic wrong”. I get that you are pretty invested in not seeing white privilege, but instead of avoiding it, why not consider the argument? This is a video by one of the leading experts that helped to identify white privilege as a concept as it is often understood today. In it she addresses a lot of your concerns, including the “but not all whites” argument, which operates as a way to derail a conversation about race.
For more concrete examples of white privilege, her video below, Unpacking The Invisible Knapsack, offers you 50 everyday examples of white privilege that are hard to deny.