Why not just have the "drawer" slide on the floor. You could add UHMW
poly runners, but I'm not sure that's even necessary. For a drawer
latch get the type where you push the door, and pops the door open,
then when you push again it latches closed. You'd have to rig a spring
or two behind the drawer (between the back of the drawer and the wall).
In use, you would push the front of the drawer with your toe, the
drawer pops out a bit, then you drag the drawer fully open with you