Hi Ethan,
In terms of learning the language, most mainstream news sources are going to be very helpful. In written form, American news is likely to be similarly useful no matter what source you choose. In fact, even in video or audio form, most presenters on American news channels will speak with a "neutral" midwestern American accent. In addition, written English in American news is not particularly different from Canadian written English, and only slightly different from British English.
By far the largest differences you will find will be related to:
<ol><li>The stories which are covered and emphasized</li><li>The tone with which different political topics are addressed</li></ol>
Our publications vary widely with respect to political affiliation and attitude. Of those you list, Fox is known as being an extremely "conservative" news source, while the New York Times is considered "moderate/liberal". Of the two, I would recommend the New York Times, but it is always helpful to understand the diversity of opinions in a country. I would actually recommend NPR, which has both written and audio programming:
https://www.npr.org/
I would also recommend considering any specialist news organizations which are related to your interests. For example, if you have an interest in economics, I would recommend The Economist. If you're more interested in pop-culture, there are a number of outlets which might be more interesting.