Mark,
Here are just a couple of thoughts, based on your actual usage and comments.
Belt tension: When I first read your issue about the belt, I went to the drawing board.
Install an idler pulley down near the motor mount. Put it on a pivoting arm, and use a spring to keep tension on the belt. As the belt deflect, when the springs compress, the idler arm will take up the slack. Hope this makes sense.
It's the same idea as an idler on a 2 or 3-spindle mowing deck.
Separation:
With two screens, I was going to place an outlet plate at the end of the top (coarse) screen so they fall well clear.
Let's say the second screen would be approx. 1" sized stuff? I would end that screen a few inches short of the coarse screen, and place a steep "gutter" taking that material off to one side.
Picture the Coarse screen creating a waterfall, and the gutter running perpendicular, underneath the waterfall? The steel gutter would be suspended from chains, that hang from the edge of the 2nd screen, which would make the gutter vibrate as well, causing the smaller material to tumble down the gutter? It might take some trail an error to develop something that works. Or, as a fall back, just make another divider wall.