Republican Party officials say they are in daily contact with Representative Paul, in a delicate effort to harness the energy around him without inciting his supporters. “We have had open dialogue with Dr. Paul and his campaign to ensure we are all focused on winning in November,” said Sean Spicer, the Republican National Committee’s communications director.

Image Supporters of Representative Ron Paul are backing the candidacies of Thomas H. Massie, left, for a House seat in Kentucky and Kurt P. Bills, right, for the Senate in Minnesota. Credit... Right: James Crisp/Associated Press and Genevieve Ross, via Associated Press

Mr. Ramsey said that other Paul supporters had brought the Kentucky race to his attention and that he would spend whatever it takes “to get this country moving in a freer direction.” “How much money would you spend for freedom?” he asked Tuesday, after buying airtime from Lexington to Louisville with money he inherited from his grandfather in 2010 as he was being pulled into the libertarian orbit of Mr. Paul.

He met Mr. Bates on the Paul campaign, and in March they incorporated Liberty for All with nearly $1 million of Mr. Ramsey’s money. More than half of it went into Kentucky’s Fourth District in a whoosh of advertising. The impact has been significant.

Mr. Massie, the Lewis County judge executive and an engineer trained at the Massachusetts Institute of Technology, said he opened the seven-way Republican primary with a lead. But he lost it after Mr. Davis and former Senator Jim Bunning backed one of his rivals, Alecia Webb-Edgington. Then small advertising buys from two other candidates pummeled him with negative accusations.

The sprawling Fourth District of Kentucky presents competitors with a challenge. To reach all its voters, a candidate must advertise in four media markets in Kentucky and Ohio. Mr. Massie acknowledged that he could not do that, but that Liberty for All could. Soon, the advertising for his rivals was drowned out by attacks on his behalf.

“They owned the airwaves, everything from the Food Channel to Court TV,” he said of the PAC.

The Ramsey money does not have a clear path from Kentucky, but Liberty for All appears to have a taste for the obscure. Its next candidate is Michael D. Cargill, a gay, black gun store owner running for constable in Travis County, Tex.