I'm inclined to agree with Guru on this one. Bunky is obviously an extrovert and if he wants to tell the whole world about his win, so be it. He can move, change his telephone number and just say no frequently.
I'm an introvert and as an older woman often alone, I'd prefer to have anonymity if that were an option. Unfortunely, in my state even if the ticket is claimed by a trust or other legal entity the lottery director can require a press conference and can require that those benefited by the trust appear and that the individuals' names and cities be listed in press releases.
Many people seem to assume that an individual who indicates that he plans to donate to charity is going to be bombarded with requests, but I don't know that such is always the case. First they have to find you. If forced to appear at a press conference, I'd probably mention my charitable interests. Why not? Mail has never been delivered to the street address here, only to a post office box. I've had an unpublished telephone number for years, so people can't look it up that way. I've tried to look myself up on the people search engines on the web and can't find any place that my phone or street address is listed without a person having to pay to get that information. And I have my doubts how many people would pay or go to the county courthouse to look up records.
If Bunky doesn't already have similar privacy protections in place, he and his family may have to face the problems for a time, but whenever major changes take place, there are adjustments to make. One must just deal with it. He seems like a person who could handle it. I hope the other members of his family can, also.