The iPod Touch is unlikely to meet your requirements unless you have music stored on the iPod itself.
I am not familiar with FIP Radio, but my research suggests that although it does broadcast on radio, it's only to a comparatively small area of the world (France). While one can listen to it from anywhere in the world, that is via the Internet, not radio transmission. I assume that you are not within FIP's radio reception area, because if you were, you would simply tune in on your car's radio.
So as with YouTube, you would need constant Internet access to listen to FIP, but you specifically state that you don't want to be online all the time.
The iPod Touch does not have direct access to the Internet. Instead, it uses your home Wi-Fi router, or when away from your home, a free access point such as those found in cafes etc. However, those outside-the-home Internet access points have limited range, so would not work in your car.
Likewise, a Maps app on an iPod would require a constant Internet access in order to work.
If FIP publishes any of their programmes as Podcasts, then you could download those Podcasts to your iPod and then play them while in your car. They are however, stored on your iPod, it is not a live feed (streaming). I haven't found any Podcasts from FIP.
