Just a thought: Open the slide and look from outside in, lifting the flexible flap. On mine, the stationary rollers on the floor would have to be worked around, but it looks like there would be no interference. I've seen a big variety of motor mounting locations on slideouts, some on the floor, so that would have to be worked around, also, but would be out of sight line.
Maybe look closely at various locations as you open it a little at a time. Or lay down some test pieces and operate the slide a bit at a time, seeing if you can freely move the test pieces.
I wouldn't try to take up something bonded to the plywood, myself. I've done that with structures that had adhesive, and the top layer of plywood always seems to get tears and holes in it, or else you end up with lumps of the other material you have to chisel off.