On the other hand, a lot of low cost areas, like rural parts of the US, don't have the high speed internet necessary to do something like that. It doesn't work unless you have both low cost of living and amenities like high speed internet. Right now, amenities like high speed internet and jobs are mostly concentrated in big cities. So just giving people a check (UBI) and telling them to work the rest out themselves while the world is actively against the idea of restructuring work simply doesn't work.
Either we can make a world that supports living someplace cheap and earning money online or we can't. Basic Income has no bearing on the logistics of making that work.
I work remotely. I moved someplace cheap within the US. I am still struggling for various reasons, but I currently live like you describe.
So if it can be done without UBI, why do we need UBI?
Either we need UBI because you can't get paid work and you need to live off UBI, or you can get paid work, in which case we don't need UBI. Please pick one
However, it's something that can be used to earn supplemental income in cheap locale.
Teach spoken English using Skype, for example. There's 2B potential customers. Or maybe 4B. All you have to be is native speaker.