Foreign aid is an entirely different matter and so doesn't bear comparison, and yet there are plenty of conservatives who want to reduce the amount our government provides.
There are also plenty of conservatives who are opposed to agricultural ( and other corporate subsidies) -- I'm one of them, but a far better case can be made that a federal effort to financially support American agriculture is in the public interest than supporting so-called public news and entertainment media.
Additionally, and more importantly, none of these other recipients are in a position, through the exercise of their very purpose, of convincing (rightly or wrongly) large swaths of the citizenry that they oppose their fundamental beliefs and interests.
If you hate FOX you don't have to financially support it, but if you hate NPR you do.
If you are honest, you will admit that you could come up with a hundred reasons why the government should not be funding media that you believed ran contrary to your ideology.
And you would be right.
It doesn't matter whether or not the Right's opposition to NPR is paranoid or the Left's support is self-serving, the very fact that either and both are possible argues against government funding.