The floor of my drawers is free floating. It doesn't move at all, in fact I do still have the roll bar installed. I used it to help hold the drawers in place. To remove it obviously I have to take the hard top off. Then I empty it and block up the back end of it so I can get to the rol bar bolts. Once the roll bar is free I tip the drawers up on their side so that the roll bar can be removed from around the drawers.
I have been really happy with the height o them. I keep a bottle of coolant on its side along side one of the drawers. Fits perfectly. I'll be interested to see what you come up with.