You can get Net access via sat link. Download is fine, upload is terrible. Expensive but that's what I'd do if money was no objection. If there is a service that gave you 'minutes' when down-time happened, that would be perfect for me. If you were 'serious', I'd investigate cubesats.
As Paul suggested a ham radio set is a good way to independently receive and send news from abroad. I think you can do TCP/IP over ham radio. http://www.ampr.org/
Depending on circumstance, a system of sneakernet with helpers can be effective. I used to 'browse' the web this way in the beginning when I didn't have a Net connection to the house.
If all of these proposals fail then you would have to setup your own internet infrastructure, make a meshnet. A local meshnet is easy. The trouble is at some point you have to connect to some backbone where Net access is available.
I was just thinking about microwave relays and lo', this appeared in my feed:
http://arstechnica.com/information-technology/2016/11/privat...