I have a similar drum, but black/gold Duco, not wrapped. Wonderful drums they are; inherently great sounding, IMO, and thanks to Sir Starkey, the sound of rock and pop.
First question relevant to my interests: how do you know it's a '57? I suspect mine is a '59, but there are no date markings, I just researched William F. Ludwig's company history and the hardware and so forth and that seems the most likely date.
Mine has the P83 strainer and butt with "WFL" inside a keystone shield, not a "Ludwig" script, so either my drum is earlier than I thought, your drum is later than you think, your drum has a parts bin badge, replaced butt and throw-off or something.
Also, I call mine a "Barrett Deems," but earlier they went by the name "Swingster," which is a cool name too. To laypeople I call it my "Ringo snare."
Pretty sure that bottom hoop is not original, with the folded back riveted flaps. Never seen that on any Ludwig snare hoop. Give your hoops the magnet test. Both of mine are COB (chrome over brass), which I believe contributes to the signature sound of my "Ringo snare."
If I had to choose a single snare, it would be my Acrolite, but the Deems would be in hot pursuit, and if it were one metal, one wood, or choose 2, no contest.
I think that the saying "every drummer needs an Acrolite" also has "every drummer also needs a re-ring Jazz Festival" along with it, so welcome to the club!