Where can I find non-shrill political coverage?

I read the New York Times, and magazines like The Atlantic and The New Yorker, and web sites like Salon. Each of these, IMO are relatively thoughtful and interesting and a good way to keep up with what's going on. And I tend to agree with them often. I guess my liberal bias matches their liberal bias.

I feel like I am not hearing 'the other side'.

What are the counterparts to for example The Atlantic or Salon for the right? Whatever commentary I come across that leans more conservative tends to be shrill, partisan and impossible to take seriously. I've been looking at the Wall Street Journal's political coverage which qualifies.

But can someone point me to the conservative equivalent of The Atlantic or New Yorker or Salon?