In California, we have EDIS (electronic digital information service) (www.edis.ca.gov), which will deliver information via e-mail to anything with an e-mail address (including an alpha-numeric pager, cell phone, or Blackberry, which is what I use). One can select a geographic region, and/or also statewide, and also what message priority one wishes to receive. I get National Weather Service info that is a watch, warning, or above, as well as anything that would be broadcast via the Emergency Alert System, Amber alerts, and a few other categories. Your state may have something similar.
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