Like others mentioned, the NRO looks like Glen Beck is writing it.
Other sources are more reasonable, the one that surprises me with a lot of good analysis from the conservative side is The Cristian Science Monitor. But that could be because they, even more surprisingly, look at science issues like Climate Change by asking the experts about the issue while virtually ignoring the climate change deniers.
More recently I think I respect the ones that are also fair about scientific issues, still missing a bit IMO, but I have noted that they can see why Trump is a bad idea and can give good analysis of why the Republicans failed to stop him like The Weekly Standard
I haven’t done a deep dive into this but honestly, to locate sane and decent modern American conservative thinking you have to pick and choose among blogs and specialist publications. The National Interest might be one example in the foreign policy and big idea realm. The Volokh Conspiracy blog over at WAPO handles law ably - worth reading. Some think tanks like AEI exist to provide sinecures for washed up conservative politicos like Gingrich, but others like the Hoover Institution operator under less restrictive ideological bindings.
The business press is full of sane commentary. It’s conservative by global standards, but then so are many wonkish analysts labeled as liberals in the US. Though to be fair the quality of business journalism is all over the map. With that in mind Project Syndicate has a lot of those including Kenneth Rogoff, Michael Boskin, Martin Feldstein, Gary Becker and frankly about 10x more centrist and center-left commentators. Like I said, to find decent conservative thinking you have to hunt and peck.
He founded the magazine. It’s an outlet for nativist-populist-paleoconservatism, which is rather different from National Review’s far more elitist brand.