Many states now have a service where you can get this, and other information, sent directly to your mail, cell phobne, alpha-pager, or any other text-based device. In NYS it's called NYAlert, and it does weather, traffic, or anything else that you want to subscribe to.
But to answer your qustion directly, Radio Shack has a good weather radio, programable to whatever area you are in, 110v with battery back-up for boondocking or power outages, for about $30. I have that in my unit. When I get home tonight, I can get you a model number...
2014 RAM 2500 Laramie 4x4 Quad Cab w/Cummins Turbo Diesel, 2009 Rockwood 2607, and 3 'yaks!
300W of Suntech Solar, a Rogue MPT-3024 Controller, and a Xantrex PW2000 Inverter