I don't think the creators had an particular family in mind.
The Sopranos is often praised for its authenticity, and that's because Chase employed an expert with a deep and complex understanding of the mob. As reported in the same Today article, that man was Dan Castleman, who worked as a technical advisor throughout the show's six seasons.

He was paid a total of $15,000 for his work throughout the first season ($3,000 for the pilot and $1,000 for each of the remaining 12 episodes), and he even made cameos throughout the show as the federal prosecutor prosecuting Junior Soprano.