Some of the names have bandied about as possible successors to McDaniel include New York Rep. Lee Zeldin, CPAC Senior Fellow Mercedes Schlapp, and attorney Harmeet Dhillon.

Zeldin has not announced if he is going to run, but GOP politicians and leaders such as former New Jersey Gov. Chris Christie and Republican Party of Texas Chairman Matt Rinaldi said they would support him if he did.

South Dakota Gov. Kristi Noem said that Republicans need to hold their leadership accountable and look hard at why the GOP has performed badly over the past two election cycles.

“We have to look at our party leadership and hold them accountable to winning, and to making sure they’re providing us the guidance that we need,” Noem said Friday on the “Just the News, No Noise” TV show.

“I think we got to ask ourselves, why we’re not winning,” Noem said. “We had a rough election cycle as well as the previous one to this where we lost the Senate, the House and the White House. Now that we underperformed in this election cycle, we need to look at what we’re doing and why we’re not winning. Frankly, I’m sick of having those types of situations.”