If you want to go online-presence free and still be hireable then you need to focus on having a good network of folks you would like to work with again and would in turn like to work with you.
While that would be my goto choice as well, I have to admit that a strong online presence rarely factors in when I am interviewing candidates. If they have an online presence with projects I can look at, I certainly do take a look and it serves as a nice discussion point.
That said, I don't ascribe a lot of value to it (though, it's true, I never saw anything exceptional). I always make up my mind through discussions and a live coding session. I know the latter is cringed upon but I keep it really simple, more like a smoke test to see if they are not just good talkers.
