I think I'm on my 3rd drawer system - all built without sliders
My latest I used a PTFE coated plywood for the drawers which works brilliantly.
Its used for making concrete formers and so has a slipy plastic coating to help release from the concrete after its dry.
To stop the drawers tilting make the back or sides of the drawer the same height as the space, then they can't tilt.
Obviously though at the end of its travel you wil have a lot of weight pushing against the top cover.
I have my drawers arranged so the least used equipment is at the back
I leave about 2mm of space sides and top, they don't mover around at all during driving