So I’m going to interpret your request broadly and recommend a couple podcasts. They aren’t necessarily right-wing (honestly, probably center left to center right), but they’re probably outside of what you’d normally consume and may challenge or intrigue you.
The New Liberal Podcast New liberalism is a rebranding of neoliberalism. I’d start by listening to a couple mailbag episodes and his past best books of the year episodes.
Conversations with Tyler Tyler Cowen is a conservative economist at the University of Chicago, but you don’t actually hear his opinions that often on his podcast which consists of interviews with an eclectic variety of folks from a homeless man to a Calvinist theologian, from music producer Rick Rubin to Wikipedia founder Jimmy Wales. He has a unique interviewing style that consists of a series of disjointed questions. He often poses challenging questions, but he gives them plenty of space to answer and doesn’t debate. I would suggest skipping interviews with people you know you’re going to hate (e.g., Peter Thiel), but instead look for interviews that pique your interest.