Work on phrasing and musical shaping at this current tempo. Slow practice is not just for working on technical bits, you always need to be making music regardless or tempo.
There is no need to drop an inactive hand below the keyboard. When there is a moment of rest, prepare the hand for what it needs to play next. It is an extra motion you do not need to make. Use the time to prepare.
Work out your visual cues. This is a piece where both hands compete for visual aid. Most of the time the hand with smaller jumps, repetitive patterns, or scales is less in need of visual attention. Devote your visual attention to the hand that needs it more.
I only don't understand this advice or understand it less:So you mean that I should play-act with my hands to do a little show when they require less movement or what do you mean?
In this case direct your eyes to the hand that needs it more, usually this is the one that has larger leaps.
It seems like the brain can hold the information about where the target is for a little while, even after you've switched to looking at the other hand.