Herbster is a Republican who owns a Falls City, Nebraska, ranch and a Kansas City-area business. He was an agriculture adviser for Trump’s 2020 campaign and has made no secret on social media of his friendship and full-throated support for Trump as he gears up for a 2022 gubernatorial race. Herbster is among nine Republicans looking to replace Mr. Ricketts, who is term-limited. Mr. Herbster’s campaign has spent more than $4 million so far, the most of any candidate.