I don't know how to remove the side to side play. The rack has levels that are about 4.5 inches tall and since it is already assembled, I don't think I can nail any wood there on each level as there isn't enough room to work in there. I can try to glue something on but only the front side as the back side is all heat tape.
But yes, there is lip on both from and back of the tub, plenty of lip. I'd say 3/4 and inch on front as well as back. If I were to add a stopper on the back on each edge on the back of the shelves, I can push it further back and get abot 1 inch (not all the way back as the heat tape are there don't want to disturb any connections).
I may also put a wedge under each tub as well which I can pull out when I take the tub out. It seems that the humidity is rising now to 65%, who knows what it is in an hour? I will have to put in holes anyway I guess. How many do you suggest I start? I know I have to test, but a starting point.
Update - the wedge didn't really work. What do you think about laying down some duct tape to make it less slippery? By the way I was testing the tubs sliding before I put in the water bowl. It does seem with the weight of the ceramic bowl it is a lot harder to slide, though still not sure.