WASHINGTON — For months, conservative news outlets have built a case against Imran Awan, his wife, two brothers and a friend, piece by piece.

To hear some commentators tell it, with the help of his family and a cushy job on Capitol Hill, Mr. Awan, a Pakistani-American, had managed to steal computer hardware, congressional data and even — just maybe — a trove of internal Democratic National Committee emails that eventually surfaced last summer on WikiLeaks. It helped that the story seems to involve, if only tangentially, Debbie Wasserman Schultz, the Florida congresswoman who is the former chairwoman of the committee and an ally of Hillary Clinton’s.

The Daily Caller, with almost two dozen articles on the family, has led the pack in reporting the story, packaging new details that have dribbled out of the investigation into a growing web of material, even as few in the mainstream news media paid attention.

That is until Monday, when Mr. Awan was arrested by the F.B.I. and United States Capitol Police on seemingly unrelated charges as he tried to board a flight to Pakistan. In the days since, the story has raced down an increasingly familiar track at warp speed, from the fringes of the internet to Fox News and other established publications.