Okay, I re-designed the rack with soap in mind. I made this so it uses all dimensional lumber, so with the exception of the x-braces it's just straight cuts. I've also made sure each drawer has adequate airflow. The side-braces are pretty exact numbers and degrees; you can just get longer pieces, hold them up to the frame and draw your cut lines to make it easier.
It's got 7 drawers. Each drawer (7) will hold 5 loafs of soap (35 loafs total) 3-1/2" wide with a little over 1/2" between loafs, and up to 3-1/2" tall sliced 1" thick (350 bars total) with 1/2" in between each slice.
Here's the drawers:
And the drawer parts list:
Drawers
-----------------------------
2(14) ea 1x2x18-1/2" (drawer sides)
2(14) ea 1x2x22" (drawer front/back)
7(49) ea 1x3x20" (drawer slats)
Here's the frame:
And the frame parts list:
Frame
-----------------------------
4 ea 2x2x34-1/4" (uprights)
4 ea 1x2x25-1/2" (front/back horizontal braces)
16 ea 1x2x20" (cleats)
2 ea 2x2x37-3/16" @ 60 deg (side x-brace)
1 ea 2x2x39-3/32" @ 47 deg (back x brace)
10 ea 1x3x21-1/2" (top slats)
And here's a drawing of the finished rack: