Reason.com (libertarian rather than conservative, but thought is multi-axis anyway) realclearpolitics.com (they are an aggregator, but host some of their own content at well that leans right) nationalinterest.org wsj.com www.theamericanconservative.com

Faith affiliated:

thetablet.org Deseret.com tabletmag.com

And this site appears to exist to aggregate quality news from every angle:

https://www.allsides.com/unbiased-balanced-news