They live surrounded by mountains and they all access the internet via a repeater mast high up on one of them. None of them have satellite because the service from the repeater has always been so reliable. Take the repeater out and there you are.
EDITS
If anyone does have satellite then you will also have to take out the local ground station(s).
Satellite Internet generally relies on three primary components: a satellite, typically in geostationary orbit (sometimes referred to as a geosynchronous Earth orbit, or GEO), a number of ground stations known as gateways that relay Internet data to and from the satellite via radio waves (microwave), and a small antenna at the subscriber's location. https://en.wikipedia.org/wiki/Satellite_Internet_access
However - At the moment I believe all such satellites are in geosynchronous orbit. If that's the case then a mountain could simply block the part of the sky where the satellite is. GS satellites are always around the equator because they must match the spin of the Earth so in the US the satellite would be to the south.
Better be quick though because new configurations of lower orbits satellites are planned.
There may be holes in my arguments and so more research is probably desirable. I just put the idea in case it's a useful lead.