There’s actually a fair amount of archeological evidence to support the biblical account of the Divided Monarchy period. We are still waiting for the first piece from the United Monarchy period though. It’s rather frustrating.
i thought they found a small house from the David-ic period, about 10 meters or more down. Haven’t read about it, but I’ve seen it at a dig once, don’t recall from where I heard that it was David-ic. The stones were irregular shaped, put together like a Chinese puzzle.