Two days after former President Donald J. Trump used a demeaning nickname to explain Ron DeSantis to a packed corridor of Iowa Republican activists, Mr. DeSantis pointedly invoked the federal indictment towards his chief rival, saying that if Mr. Trump had “drained the swamp like he promised,” then he most likely “wouldn’t be in the mess that he’s in right now.”

Speaking to reporters on Sunday after a marketing campaign occasion in New Hampshire, Mr. DeSantis, the governor of Florida, added that Mr. Trump’s use of “juvenile insults” served as a reminder of “why there are so many millions of voters who will never vote for him going forward.”

Mr. DeSantis has usually not used Mr. Trump’s legal troubles towards him, and has as a substitute centered on criticizing the Biden administration for what he phrases the “weaponization” of federal legislation enforcement.

But as Mr. DeSantis seeks to reset his ailing marketing campaign by reducing employees and organizing extra casual occasions within the face of a fund-raising shortfall, his feedback counsel he could also be taking a much less timid strategy towards the person who leads him in nationwide polls by a large margin. Even allies have stated that his marketing campaign has lacked a coherent message about why voters ought to select him over Mr. Trump.

Part of the shift can also be a results of how Mr. DeSantis has modified his marketing campaign techniques previously week. Whereas he beforehand engaged with voters in additional managed environments, and stored the press at arm’s size, he’s now frequently taking questions from each on a regular basis Americans and reporters — which means that he might be requested extra typically about Mr. Trump, who’s dominating the Republican major race.

Mr. DeSantis’s marketing campaign reboot took him on a bus tour through rural Iowa final week. On Friday, he and a dozen different Republican presidential candidates, together with the previous president, took turns addressing a dinner hosted by the Republican Party of Iowa. With Mr. DeSantis ensconced in a hospitality suite not removed from the principle stage, Mr. Trump mockingly referred to his rival as “DeSanctis” (quick for “DeSanctimonious”) and bragged about his lead within the polls.

On Sunday, Mr. DeSantis appeared at a barbecue in Rye, N.H., co-hosted by former Senator Scott Brown of Massachusetts, who served as an envoy within the Trump administration. Mr. Brown, who’s staying impartial within the race for now, is internet hosting related occasions for a number of Republican candidates, though Mr. Trump’s camp has not but reached out about attending, Mr. Brown stated.

As is his regular apply, Mr. DeSantis didn’t point out Mr. Trump in his stump speech. But in a question-and-answer session afterward, one voter requested the governor, “Given Trump’s stronghold on what seems to be a majority of the party, what’s your strategy to show Trump supporters that you’re a better alternative?”

Mr. DeSantis responded by saying he believed many Republicans have been open to nominating somebody aside from Mr. Trump.

“I think with me, you know, I’m the candidate that’s more likely to beat Biden,” he stated. “I’m more reliable on policy. I think you’ve seen my record in Florida, and I’m much more likely to actually get all this stuff done.”

“We ended the presidency with Fauci running the government,” Mr. DeSantis continued, referring to Dr. Anthony S. Fauci, the federal authorities’s former prime infectious illness skilled, who’s deeply unpopular with Republican voters. “That’s not draining the swamp.”

Hank Bivins, the voter who requested the query, stated the response left him considerably underwhelmed.

“He has to differentiate himself more,” stated Mr. Bivins, 53, who continues to be undecided. “He’s going to have to fine-tune that answer.”

Steven Cheung, a spokesman for Mr. Trump, accused Mr. DeSantis of being “nothing more than an off-brand, bootleg version of America First.”

“No matter how much time he spends cosplaying as President Trump, he will never be him or achieve a hundredth of what was achieved during the Trump administration,” Mr. Cheung stated in an announcement.

A latest University of New Hampshire poll confirmed Mr. Trump main the sector within the state with 37 p.c of the vote, adopted by Mr. DeSantis with 23 p.c.

But Mr. Brown stated Mr. DeSantis was doing the suitable issues to shut the hole, saying that of all of the candidates within the race, solely discipline staff representing Mr. DeSantis had knocked on his door to this point.

And he stated that Mr. DeSantis had improved noticeably as a retail politician since he final noticed the governor marketing campaign in New Hampshire in June.

“I see him today and he’s way better,” Mr. Brown stated. “And he’s connecting better.”