Rick Rizzolo came up toward the end of Spilotro's days in Vegas, probably in 1983 or thereafter. He was not part of the Hole in Wall crew. He was a friend of Rocco Lombardo and worked in Las Vegas under Don Angelini. Therefore, it's safe to say Rizzolo was part of the new West Coast/Las Vegas crew post 1986.
As for actual mob activity, there really isn't any. He used to own the Club, but other than not paying taxes and committing an Assault, there didn't seem to be any loansharking, bookmaking, union busting, etc.
His connection to the Outfit now is probably only through Sam Cecola, who owns the other big strip club in Vegas, but as we know, is an associate of Elmwood Park in Chicago.