Sure, if we would find crashed space ship, that would be good evidence. We don't have that (or it's not public knowledge anyway).
Anything less than that would be hard to consider evidence. Especially if those things are trying to minimize encounters.
As to mining planets. I think that it makes more sense to mine asteroids. You don't need to overcome gravitational well and asteroids are quite rich when it comes to resources. Asteroid belt is huge. You can build lots of stuff there without fear to be noticed. Also it's not really clear how far can you go with minituatirization. We think about big ships but if you can operate on molecular level, may be you can stay small. Think about robots size of bacteria, size of ants and stuff like that. Alien anthill in some asteroid pit might be never noticed.
The lack of evidence does not support a claim. Otherwise we'd make arguments about ghosts, invisible unicorns, and flying spaghetti monsters. Just to be clear. You're right that it is hard to consider evidence when it doesn't exist. So my believe of aliens visiting earth is in the probability ranges of these other things.
I'll bring up another point that I didn't in my longer post though. Maybe these lifeforms solved things like longevity and so such time constraints aren't meaningful to them. What's a few hundred years when you live millions?
> But billion of years at 0.1c is still huge chunk of universe. Are we sure that no civilization born within this radius billion years ago?
That's 1,000,000ly fwiw. That does cover the entire Milkey Way (but doesn't get us half way to Andromeda). But also consider that the Milkey Way is 13.6bn years old and life on Earth is 3.7bn.
I'm not saying that your idea is crazy, it is definitely possible (and has been proposed by others, in quite high detail). I just think there isn't any evidence for this and there's reason to believe that this would be quite difficult to pull off. But we'll see as time goes on.
[0] https://news.ycombinator.com/item?id=34672241