I would use a soldering iron (large tip) and a braided copper desoldering wick.....don't add flux to the coin as then the solder would stick to it. The wick is impregnated with flux and will wick away the solder as it melts. Gravity will be your friend here...work with the coin held above the work surface and melt stuff on the bottom. A torch to melt the solder and a sponge or rag to quickly wipe off any that was melted would be an option too and maybe even the first one to try. That is sure a nice coin. Good Luck!
edit: torches worry me....they are very hot. Remember that depending on the alloy, silver will start melting anywhere from 1500 to 1600* F
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