Hey BlackAnges
I believe what you have is a trial case used by S&W, maybe an experiment? I have very little information on this case. The information I have is it was used on an early mod 57.

Early variation Approx. 1965 ?
Styrofoam top and bottom liner molded to the gun. The liners were covered in dark
blue satin cloth. There are recesses for the sight adjustment tool, bore mop and
cleaning rod (with brush attached) formed in the bottom liner. The gun points to the
left. The exterior wood case is covered with a wood grain contact paper.

I see from your picture yours came with a Banjor Punta Parts List which would make it post 1965. Do you know the ship date of your gun or could you email me the serial number of your gun so I can check it against my data base?
[email protected]
jcelect SWCA#LM723