I'm sympathetic to claims of NPR bias (still a big fan), but rather than seeking an "unbiased" source, I want a thoughtful, reasonable, open-minded and well-mannered conservative news source. It does not exist.
You might look into the magazine The American Conservative. It's far from perfect (Pat Buchanan uses it as his soapbox from time to time, for starters), but on the whole it's pretty readable.