I work on very high end Audio equipment that integrates a lot of different music talk streaming services, so aside from online news outlets, there are a tone of good sources through streaming conservative radio, and podcasts on a variety of subjects.
But you asked specifically about access to Fox News, and you also want to keep bandwidth low so you aren't burning data.
If you got an XMSirius Radio subscription for app/computer streaming, it's $5 for the first six months, $15/month after that. That will get you Fox News, Fox Business, and a bunch of the other crappy MSM outlets.
Your next option, if you don't have it, is the iHeartRadio app. that will get you access to tons of AM stations to listen to live conservative talk from AM stations across the US. You can subscribe with them as well if you want a music streaming service as well, sort of like Apple Music, Spotify, or several others. I just use it to listen to AM radio stations, though, for free.
Another Free option is the TuneIn radio app. This is another way to listen to radio stations in the US and around the world. Basically, it's all the radio stations that are not owned by iHeart Media found in the preceding paragraph recommendation.
Another option, and maybe this is no longer true, but i believe that AT&T has deals with DirectTV where you can stream DTV channels to your phone with their app.
Just a couple of options. Sorry if that seems a bit scattered, but if your content listening, XM might be the way to go for Fox News access. It also frees up your eyes to do other things.
If I was to do the Nomad thing, a Sprinter would likely be my choice as well. Covered in Solar panels and sporting a serious cellular booster system.
I’d have to go with a small (32-43”)4K monitor and Disc player in the rig. They’ve come way down in price. Since I went Apple and Mac when they beat everyone so badly on the integration side of things, I’d have to put a 4K Apple TV smart TV device on it. (I notice it has the FOX app, and all the others, Vudu, Hulu, Netflix, Amazon Prime, etc.)
It also has a good IP Camera App available, so you could keep an eye on the situation around your vehicle with a PTZ camera when you’re away from it. (Given connectivity...) People are even putting Ring(tm) Doorbells on their rigs now.
You can do similar things in the Android world. Look for a smart TV that will let you share your Galaxy Note’s screen with it and has a FOX News app available on it’s app store. One of the smaller Samsung 4k smart TVs would likely make a useful companion for your Galaxy Note.
If you need tiny, there are also wifi pocket 720P laser projector Android based smart TVs that can do the job and give you access to some of the news and entertainment apps.
As for streaming Fox content, that is more a product of what they want out there, and the trend they are currently on is sad.
Not FNC but My Brother likes Them and He’s Damned Picky.
I get All My Info here. If it’s Local stuff I hear about it from My Wife so I don’t have to listen to the snewzcaster lips flapping.
Enjoy and Thank You for Your Service.
Re using the FoxNews app on Apple TV:
If it’s similar to ROKU, in order to get more than recorded segments,
you are going to need someone’s cable TV account log-in info (sometimes relatives will share)
Admittedly those recorded segments are usually on the same day (and go back a week), but its not the same as watching live.
As for Fox on youtube, are you subscribed here?
https://www.youtube.com/channel/UCXIJgqnII2ZOINSWNOGFThA
I also recommend OANN
https://www.youtube.com/channel/UCNbIDJNNgaRrXOD7VllIMRQ