I gotta say Taurus, I can cram quite a bit into an Altoid tin, like AFLM.

If your soap dish is what I think, you should be able to get a BUNCH in. You never specified that the soap dish had to fit all the way closed, right? So... cram it full, and use the tape to keep the top and bottom from falling apart. You should theoretically have close to 2" of height, and still just have the barest of overlap between the 2 halves. it's only cheating if it's against the rules, AND you get caught!!!

Now, if you want, I can try and unpack my PSK and show you how crammed it is. Might be ugly getting it back together though!