It should be private and location unknown as not to be defiled!
That would certainly be my choice, but it is entirely up to his wife. I'd think 'family only' as he had so many friends, and associates that it would have to be big, otherwise, for who could he leave out? Others could be invited to a few celebrations of his life in groups, or whatever, if she feels the need.
But I really would like to have the last hour of a radio show next week one day to be a Service, with eulogies and heartbreaking music, and prayers - for his radio family.