I don't know if they offer this in your area Martin, but until someone makes a better weather radio -
A local TV station has a service whereby you sign up, leave a contact phone number and address and if severe weather is spotted in your area, you get a call. Not forecast, not watches, warnings only.
Worked like a charm the time funnel clouds were spotted in the area. As recently as yesterday I got a call about a severe TStorm in the area. Best of all, it's free.
Between that and weatherbug I usually am warned about weather in a timely manner.
And I know I would buy a radio like the one you describe. It's too simple is what it is.