One week before the Republican presidential primary in South Carolina, where polls suggest she trails by an insurmountable margin, Nikki Haley was in Texas, promising to go national, as most primary candidates, even in the most dire circumstances, usually do.

Despite big losses in Iowa, New Hampshire and Nevada, and the steep odds facing her in South Carolina, her home state, Ms. Haley is showing no signs of relenting. She is still raking in donations and building out her national footprint, as she pledges to move her party past former President Donald J. Trump.

“He said he’s going to spend more time in a courtroom than he is going to be on the campaign trail,” she said of Mr. Trump on Friday in San Antonio, referring to the hours he spent in New York last week facing criminal and civil cases. “But let me tell you what we are going to be doing. We are going to be on the campaign trail.”

Ms. Haley, a former governor of South Carolina and a United Nations ambassador under Mr. Trump, is projecting confidence even as her path to victory looks stark. In many South Carolina polls, she trails Mr. Trump by roughly 30 points — and the picture beyond next week’s contest does not look much brighter.

If Ms. Haley continues with her plans to stay in the race beyond South Carolina, as she has pledged, here is a look at how she intends to take her long-shot bid national.

The Map

The Haley campaign has announced teams of elected officials, business leaders and prominent community members to help lead their efforts in Alaska, California, Georgia, Idaho, Massachusetts, Minnesota, Utah and Washington. Her “National Women for Nikki Coalition,” which counts chapters in all 50 states and Puerto Rico, has kicked into full gear, with a mission to court suburban women turned off by Mr. Trump.