Samuel, hello and welcome to the group.
To be real honest, I don't deal with 'modern' coins. the coins I deal with, when I deal with them are from the ancient Roman and and ancient Greek eras. Your 'green' comes from the copper mixed into the silver alloy to harden it. It you have one coin that you want to try, I would suggest the olive oil bath. thie works very well on ancient silver. Take 4 ounces [about 350 ml] of olive oil, add 15 ml [about 1 ounce] lemon juice, mix them together, it will be an opaque mix, add the coin, and place somewhere warm. I use an old coffee maker hot plate, let it sit for about 20 to 30 minutes, or until the mixture becomes transparent. The lemon will only effect the copper oxide, not the silver, and the oxide will be floated off by the oil. This has worked well in the past, you coin will not be bright and shin, but may have a slight 'mat' silver color. This would look like normal age, or natural toning, without any chemical additions. If I can find a 'new' coin , I will try it and post pictures.
Bruce