1. Running your own cables.
Running cables isn't enough - they need to connect to something, and have equipment to run a service over them. Do you want to run your own ISP business? Then you might consider something like B4RN - one of the most successful rural groups, digging their own fibre in.
They regularly run "show and tell" days for other like-minded community groups, like this one:
Their facebook page has a lot of pictures of them digging in the fibre.
Their business plan in 2011: http://www.b4rn.org.uk/wp-content/uploads/2011/12/B4...
Their business plan in 2013: http://b4rn.org.uk/wp-content/uploads/2015/09/B4RN-B...
2. You can do this ad-hoc, by use of wireless networking, including use of unlicenced or lightly-licenced spectrum in the 5GHz bands.
Some equipment can help set up backhaul to the next village - using point-to-point wireless like
Ubiquiti Nanobeam M (or "ac")
And some equipment to help set up a wireless access network for multiple homes in the village, like
Ubiquiti Nanostation M (or "ac") at each house
Ubiquiti Rocket M (or "ac") as a central basestation.
If there are a lot of homes (more than 20) you might need multiple base-stations.
You might be interested in this thread over at Ubiquiti:
If you want to follow steps 1 or 2, then someone is going to have to become tech-savvy.
3. Don't forget that a community can fund BT to supply their village, if it isn't in any BDUK plans. See the FAQs here: