The easiest way I know of to create a copy of an array is using:
var newArray = [].concat(originalArray);
You could perform that in the first line of most of the solutions on the linked answer and you would be getting a new array back with the original untouched. Here is a modified version of the top rated answer on the linked question:
function shuffle(originalArray) {
  var array = [].concat(originalArray);
  var currentIndex = array.length, temporaryValue, randomIndex;
  // While there remain elements to shuffle...
  while (0 !== currentIndex) {
    // Pick a remaining element...
    randomIndex = Math.floor(Math.random() * currentIndex);
    currentIndex -= 1;
    // And swap it with the current element.
    temporaryValue = array[currentIndex];
    array[currentIndex] = array[randomIndex];
    array[randomIndex] = temporaryValue;
  }
  return array;
}