There are three of them. Two with no roots whatsoever, the third might or might not have something, I am not sure. So far nothing croaked, they're just sitting there, as you described it. The one that's been there the longest popped out some time ago, I checked it - no roots. I put some stones around that one so that he stays put.
So far, the weather's been doing the watering for me - it's been raining every other day. To the point I'm actually worried they might have too much water, especially looking at a few others. But yes, I thought about misting them if it stopped raining. Good to know that's the right thing to do in such circumstances.