What about getting 2 sheets of uv glass cut to fit the desk? Get them to finish the edges (they grind them a bit and I think a light oil is put on there to get that green look). Then, put the cards you gather between the sheets of glass. Even if the cards did eventually stick to the glass, a bit of water would quickly and harmlessly release the cards...
The cards would be easier to enjoy if they're on the desk, as opposed to in a binder, or in a safe, or safety deposit box, or slabs...
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