Max Miller

Representative Max Miller, the increasingly embattled Republican from Ohio who was accused of physically abusing his ex-wife and young daughter, continued to resist pressure on Friday to drop his re-election bid as the deadline for him to withdraw neared.

Mr. Miller planned to loan his campaign $1 million, according to a person familiar with his thinking who spoke on the condition of anonymity to describe campaign strategy, effectively rebuffing calls from powerful Republicans in the state to withdraw from the race.

Senator Jon Husted, who faces his own tough re-election battle, broke his silence Thursday by publicly urging Mr. Miller to “step aside as a candidate and resign from Congress.” And on Friday, the head of an Ohio-based conservative group, the Center for Christian Virtue, posted on social media that Mr. Miller had “disqualified himself.”

Ohio state law gives local party leaders until 4 p.m. on Monday to name a new candidate, but the law requires two days of notice to convene a meeting to do so. Mr. Miller would most likely have to end his congressional campaign either by Friday or Saturday, though officials have said there is still some confusion about the deadline.

The effort by G.O.P. leaders to push Mr. Miller off the ballot has been underway for at least a week, ever since his contentious custody battle with his ex-wife, who is the daughter of Senator Bernie Moreno, burst into the national news. The public push has intensified as the deadline has neared. Mr. Miller also tried to defend himself by embarking on a media tour that included a lengthy and erratic interview with CNN’s Jake Tapper, in which he struggled to answer straightforward questions such as when he had last used illegal drugs, alarming Republicans even more.

Officials said they feared that the seriousness of the accusations could cost the party a comfortably Republican seat that it cannot afford to lose in a midterm election cycle in which control of the House is at stake.

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