Now I am more confused
Bill Tindall, E.Tn.
Slots? Where are slots involved? Our solution does not involve slots.
If I understand correctly your problem is one I have dealt with many times. Or maybe I don't understand.
You have three "false top" strips across the top of the case that provide an anchor to screw the show top to. Holes can be bored from above and a #8 square drive can be counter sunk from below, or a bigger screw if you want to excavate a counter sink hole. A #8 will sink itself. Screws do not interfere with drawer. A false top or partial false top is typical for Period Furniture and screwing show top to this top also typical, as we described.
On other occasions I have used "Z" shaped table top fasteners for tops. I usually forget to make the slots in the case side. Can be done after the fact with mortise chisel, Domino, or grooving router bit.