Internet access would be problematic during a wide spread emergency, but of course, it would depend on what kind of emergency.

Most situations would probably knock out land based Internet services like cable, DSL, fibre; either through damage to the lines, or eventual run-down of emergency power to equipment.

Cellular Internet probably would be more resistaint to line damage, but it isn't clear how long the towers can run without power. The upside is it sounds like emergency plans tend to include bringing in portable towers. The downside is cellular tends to get overloaded in a crisis and the emphasis is on phone calls and text messages.

Pretty much the most reliable option is satellite where you are likely to get out of your area all together, but sat based Internet is expensive.

While not direct Internet access you might check into the Delorme Inreach:

http://inreachdelorme.com

While not "cheap", you can get satellite based messaging without being rich.

I would attempt to have two way radios for short range communications and a normal radio for information. A scanner capable of accessing local emergency service comminications in your area (may be digital trunking) ma also be useful.

No matter what you do, you need to ensure you have a way to power whatever devices you may have. Battery packs, a stock of batteries and a way to recharge all may be part the plan.

Also, if you plan to rely on electronic devices like phones, tablets during the emergency for reference material, navigation, etc., make sure the applications you rely on can store the needed information locally, and spend the time to download that information and test you can access it while not connected to the Internet.

-john